460455725400 has 96 divisors (see below), whose sum is σ = 1557177566400. Its totient is φ = 111625628800.

The previous prime is 460455725399. The next prime is 460455725437. The reversal of 460455725400 is 4527554064.

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 23 ways as a sum of consecutive naturals, for example, 34876410 + ... + 34889609.

It is an arithmetic number, because the mean of its divisors is an integer number (16220599650).

Almost surely, 2^460455725400 is an apocalyptic number.

460455725400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460455725400 is an abundant number, since it is smaller than the sum of its proper divisors (1096721841000).

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

460455725400 is a wasteful number, since it uses less digits than its factorization.

460455725400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69766049 (or 69766040 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 42.

The spelling of 460455725400 in words is "four hundred sixty billion, four hundred fifty-five million, seven hundred twenty-five thousand, four hundred".