460785369600 has 240 divisors, whose sum is σ = 1691307567840. Its totient is φ = 122876006400.

The previous prime is 460785369599. The next prime is 460785369689. The reversal of 460785369600 is 6963587064.

460785369600 is a `hidden beast` number, since 46 + 0 + 7 + 8 + 536 + 9 + 60 + 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 (54).

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, 321046 + ... + 1012245.

It is an arithmetic number, because the mean of its divisors is an integer number (7047114866).

Almost surely, 2^460785369600 is an apocalyptic number.

460785369600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460785369600 is an abundant number, since it is smaller than the sum of its proper divisors (1230522198240).

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

460785369600 is a wasteful number, since it uses less digits than its factorization.

460785369600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333328 (or 1333301 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 460785369600 in words is "four hundred sixty billion, seven hundred eighty-five million, three hundred sixty-nine thousand, six hundred".