468332928 has 256 divisors, whose sum is σ = 1605888000. Its totient is φ = 133249536.

The previous prime is 468332911. The next prime is 468332933. The reversal of 468332928 is 829233864.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1959433 + ... + 1959671.

It is an arithmetic number, because the mean of its divisors is an integer number (6273000).

Almost surely, 2^468332928 is an apocalyptic number.

468332928 is a gapful number since it is divisible by the number (48) 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 468332928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802944000).

468332928 is an abundant number, since it is smaller than the sum of its proper divisors (1137555072).

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

468332928 is an frugal number, since it uses more digits than its factorization.

468332928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 251 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 468332928 is about 21641.0010859017. The cubic root of 468332928 is about 776.5776688491.

The spelling of 468332928 in words is "four hundred sixty-eight million, three hundred thirty-two thousand, nine hundred twenty-eight".