464882976 has 180 divisors, whose sum is σ = 1414173222. Its totient is φ = 149796864.

The previous prime is 464882959. The next prime is 464882989. The reversal of 464882976 is 679288464.

It can be written as a sum of positive squares in only one way, i.e., 404975376 + 59907600 = 20124^2 + 7740^2 .

It is a super-2 number, since 2×464882976² = 432232362749233152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4792560 + ... + 4792656.

Almost surely, 2^464882976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464882976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707086611).

464882976 is an abundant number, since it is smaller than the sum of its proper divisors (949290246).

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

464882976 is an equidigital number, since it uses as much as digits as its factorization.

464882976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 145 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 464882976 is about 21561.1450530810. The cubic root of 464882976 is about 774.6660932719. Note that the first 3 decimals are identical.

The spelling of 464882976 in words is "four hundred sixty-four million, eight hundred eighty-two thousand, nine hundred seventy-six".