459768029364 has 96 divisors (see below), whose sum is σ = 1362734822400. Its totient is φ = 131318016480.

The previous prime is 459768029267. The next prime is 459768029393. The reversal of 459768029364 is 463920867954.

459768029364 is a `hidden beast` number, since 4 + 597 + 6 + 8 + 0 + 2 + 9 + 36 + 4 = 666.

It is a super-2 number, since 2×459768029364² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2175327 + ... + 2377305.

It is an arithmetic number, because the mean of its divisors is an integer number (14195154400).

Almost surely, 2^459768029364 is an apocalyptic number.

It is an amenable number.

459768029364 is an abundant number, since it is smaller than the sum of its proper divisors (902966793036).

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

459768029364 is a wasteful number, since it uses less digits than its factorization.

459768029364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205010 (or 205002 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 459768029364 in words is "four hundred fifty-nine billion, seven hundred sixty-eight million, twenty-nine thousand, three hundred sixty-four".