468932160 has 224 divisors, whose sum is σ = 1603491840. Its totient is φ = 115734528.

The previous prime is 468932147. The next prime is 468932171. The reversal of 468932160 is 61239864.

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, 857007 + ... + 857553.

Almost surely, 2^468932160 is an apocalyptic number.

468932160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468932160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801745920).

468932160 is an abundant number, since it is smaller than the sum of its proper divisors (1134559680).

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

468932160 is a wasteful number, since it uses less digits than its factorization.

468932160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 468932160 is about 21654.8414909923. The cubic root of 468932160 is about 776.9087380742.

The spelling of 468932160 in words is "four hundred sixty-eight million, nine hundred thirty-two thousand, one hundred sixty".