456985355120 has 40 divisors (see below), whose sum is σ = 1214275373664. Its totient is φ = 156680692992.

The previous prime is 456985355119. The next prime is 456985355137. The reversal of 456985355120 is 21553589654.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×456985355120² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 408022079 + ... + 408023198.

Almost surely, 2^456985355120 is an apocalyptic number.

456985355120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456985355120 is an abundant number, since it is smaller than the sum of its proper divisors (757290018544).

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

456985355120 is a wasteful number, since it uses less digits than its factorization.

456985355120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816045297 (or 816045291 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 53.

The spelling of 456985355120 in words is "four hundred fifty-six billion, nine hundred eighty-five million, three hundred fifty-five thousand, one hundred twenty".