468516 has 12 divisors (see below), whose sum is σ = 1093232. Its totient is φ = 156168.

The previous prime is 468509. The next prime is 468527. The reversal of 468516 is 615864.

468516 = T₁₄₃ + T₁₄₄ + ... + T₁₇₈.

468516 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 468516.

It is an unprimeable number.

468516 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19510 + ... + 19533.

2⁴⁶⁸⁵¹⁶ is an apocalyptic number.

It is an amenable number.

468516 is an abundant number, since it is smaller than the sum of its proper divisors (624716).

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

468516 is a wasteful number, since it uses less digits than its factorization.

468516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39050 (or 39048 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 468516 is about 684.4822861112. The cubic root of 468516 is about 77.6678844101.

The spelling of 468516 in words is "four hundred sixty-eight thousand, five hundred sixteen".