455008512 has 216 divisors, whose sum is σ = 1434446496. Its totient is φ = 127647744.

The previous prime is 455008487. The next prime is 455008537. The reversal of 455008512 is 215800554.

It is an interprime number because it is at equal distance from previous prime (455008487) and next prime (455008537).

It is a self number, because there is not a number n which added to its sum of digits gives 455008512.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4026568 + ... + 4026680.

It is an arithmetic number, because the mean of its divisors is an integer number (6640956).

Almost surely, 2^455008512 is an apocalyptic number.

455008512 is a gapful number since it is divisible by the number (42) 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 455008512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717223248).

455008512 is an abundant number, since it is smaller than the sum of its proper divisors (979437984).

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

455008512 is a wasteful number, since it uses less digits than its factorization.

455008512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The square root of 455008512 is about 21330.9285311259. The cubic root of 455008512 is about 769.1419643287.

The spelling of 455008512 in words is "four hundred fifty-five million, eight thousand, five hundred twelve".