464636928 has 352 divisors, whose sum is σ = 1584672768. Its totient is φ = 117964800.

The previous prime is 464636917. The next prime is 464636951. The reversal of 464636928 is 829636464.

It is a super-2 number, since 2×464636928² = 431774949722554368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 11332588 + ... + 11332628.

Almost surely, 2^464636928 is an apocalyptic number.

464636928 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 464636928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792336384).

464636928 is an abundant number, since it is smaller than the sum of its proper divisors (1120035840).

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

464636928 is a wasteful number, since it uses less digits than its factorization.

464636928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 101 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 48.

The square root of 464636928 is about 21555.4384784908. The cubic root of 464636928 is about 774.5294003193.

It can be divided in two parts, 464636 and 928, that added together give a palindrome (465564).

The spelling of 464636928 in words is "four hundred sixty-four million, six hundred thirty-six thousand, nine hundred twenty-eight".