468696192 has 64 divisors (see below), whose sum is σ = 1285167360. Its totient is φ = 151188480.

The previous prime is 468696187. The next prime is 468696211. The reversal of 468696192 is 291696864.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×468696192² = 439352240790601728, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 7783 + ... + 31590.

It is an arithmetic number, because the mean of its divisors is an integer number (20080740).

Almost surely, 2^468696192 is an apocalyptic number.

It is an amenable number.

468696192 is an abundant number, since it is smaller than the sum of its proper divisors (816471168).

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

468696192 is a wasteful number, since it uses less digits than its factorization.

468696192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39421 (or 39409 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 51.

The square root of 468696192 is about 21649.3924164167. The cubic root of 468696192 is about 776.7784019792.

The spelling of 468696192 in words is "four hundred sixty-eight million, six hundred ninety-six thousand, one hundred ninety-two".