464886912 has 192 divisors, whose sum is σ = 1484663040. Its totient is φ = 128378880.

The previous prime is 464886899. The next prime is 464886949. The reversal of 464886912 is 219688464.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×464886912² = 432239681897791488, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 582898 + ... + 583694.

It is an arithmetic number, because the mean of its divisors is an integer number (7732620).

Almost surely, 2^464886912 is an apocalyptic number.

464886912 is a gapful number since it is divisible by the number (42) 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 464886912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742331520).

464886912 is an abundant number, since it is smaller than the sum of its proper divisors (1019776128).

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

464886912 is a wasteful number, since it uses less digits than its factorization.

464886912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 840 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 464886912 is about 21561.2363281886. The cubic root of 464886912 is about 774.6682795405.

The spelling of 464886912 in words is "four hundred sixty-four million, eight hundred eighty-six thousand, nine hundred twelve".