468696072 has 64 divisors (see below), whose sum is σ = 1276128000. Its totient is φ = 142585344.

The previous prime is 468695951. The next prime is 468696083. The reversal of 468696072 is 270696864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19329 + ... + 36207.

It is an arithmetic number, because the mean of its divisors is an integer number (19939500).

Almost surely, 2^468696072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468696072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638064000).

468696072 is an abundant number, since it is smaller than the sum of its proper divisors (807431928).

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

468696072 is a wasteful number, since it uses less digits than its factorization.

468696072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16990 (or 16986 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 468696072 is about 21649.3896449761. The cubic root of 468696072 is about 776.7783356865.

The spelling of 468696072 in words is "four hundred sixty-eight million, six hundred ninety-six thousand, seventy-two".