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455255040 = 21035107277
BaseRepresentation
bin11011001000101…
…010010000000000
31011201122100111210
4123020222100000
51413021130130
6113101410120
714165414112
oct3310522000
91151570453
10455255040
11213a85939
12108569940
13734198a6
14446693b2
1529e7a5b0
hex1b22a400

455255040 has 176 divisors, whose sum is σ = 1475019072. Its totient is φ = 119832576.

The previous prime is 455255039. The next prime is 455255041. The reversal of 455255040 is 40552554.

It is an interprime number because it is at equal distance from previous prime (455255039) and next prime (455255041).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 455254989 and 455255007.

It is not an unprimeable number, because it can be changed into a prime (455255041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1643382 + ... + 1643658.

Almost surely, 2455255040 is an apocalyptic number.

455255040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737509536).

455255040 is an abundant number, since it is smaller than the sum of its proper divisors (1019764032).

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

455255040 is a wasteful number, since it uses less digits than its factorization.

455255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 30.

The square root of 455255040 is about 21336.7064000047. The cubic root of 455255040 is about 769.2808487601.

The spelling of 455255040 in words is "four hundred fifty-five million, two hundred fifty-five thousand, forty".