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463385920 = 2651448081
BaseRepresentation
bin11011100111101…
…011010101000000
31012021221102222111
4123213223111000
51422111322140
6113551545104
714324500234
oct3347532500
91167842874
10463385920
11218629778
1210b22b194
137500576a
14457845c4
152aa347ea
hex1b9eb540

463385920 has 28 divisors (see below), whose sum is σ = 1103438484. Its totient is φ = 185354240.

The previous prime is 463385917. The next prime is 463385921. The reversal of 463385920 is 29583364.

It can be written as a sum of positive squares in 2 ways, for example, as 296666176 + 166719744 = 17224^2 + 12912^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463385921) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 723721 + ... + 724360.

Almost surely, 2463385920 is an apocalyptic number.

463385920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

463385920 is an abundant number, since it is smaller than the sum of its proper divisors (640052564).

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

463385920 is a wasteful number, since it uses less digits than its factorization.

463385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448098 (or 1448088 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The square root of 463385920 is about 21526.4005351568. The cubic root of 463385920 is about 773.8336503492.

The spelling of 463385920 in words is "four hundred sixty-three million, three hundred eighty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1448081 2896162 5792324 7240405 11584648 14480810 23169296 28961620 46338592 57923240 92677184 115846480 231692960 463385920