460253912400 has 240 divisors, whose sum is σ = 1691008197120. Its totient is φ = 118775116800.

The previous prime is 460253912383. The next prime is 460253912429. The reversal of 460253912400 is 4219352064.

It is a happy number.

460253912400 is a `hidden beast` number, since 4 + 6 + 0 + 25 + 391 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 352557 + ... + 1022156.

It is an arithmetic number, because the mean of its divisors is an integer number (7045867488).

Almost surely, 2^460253912400 is an apocalyptic number.

460253912400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460253912400 is an abundant number, since it is smaller than the sum of its proper divisors (1230754284720).

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

460253912400 is a wasteful number, since it uses less digits than its factorization.

460253912400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374771 (or 1374754 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 460253912400 in words is "four hundred sixty billion, two hundred fifty-three million, nine hundred twelve thousand, four hundred".