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1480450464 = 253229177257
BaseRepresentation
bin101100000111101…
…1110000110100000
310211011201200020200
41120033132012200
511012443403324
6402523105200
751454423053
oct13017360640
93734650220
101480450464
1169a748389
12353972200
131a7938bbc
14100894a9a
1589e86ec9
hex583de1a0

1480450464 has 72 divisors (see below), whose sum is σ = 4355229060. Its totient is φ = 476464128.

The previous prime is 1480450463. The next prime is 1480450471. The reversal of 1480450464 is 4640540841.

It is a happy number.

1480450464 is a `hidden beast` number, since 14 + 80 + 4 + 504 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1260818064 + 219632400 = 35508^2 + 14820^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1480450463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80277 + ... + 96980.

Almost surely, 21480450464 is an apocalyptic number.

It is an amenable number.

1480450464 is an abundant number, since it is smaller than the sum of its proper divisors (2874778596).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1480450464 is a wasteful number, since it uses less digits than its factorization.

1480450464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177302 (or 177291 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 1480450464 is about 38476.6223049789. The cubic root of 1480450464 is about 1139.7194508160.

The spelling of 1480450464 in words is "one billion, four hundred eighty million, four hundred fifty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 177257 354514 531771 709028 1063542 1418056 1595313 2127084 2836112 3190626 4254168 5140453 5672224 6381252 8508336 10280906 12762504 15421359 17016672 20561812 25525008 30842718 41123624 46264077 51050016 61685436 82247248 92528154 123370872 164494496 185056308 246741744 370112616 493483488 740225232 1480450464