464880672 has 72 divisors (see below), whose sum is σ = 1367615340. Its totient is φ = 149614080.

The previous prime is 464880667. The next prime is 464880677. The reversal of 464880672 is 276088464.

It is an interprime number because it is at equal distance from previous prime (464880667) and next prime (464880677).

It can be written as a sum of positive squares in 2 ways, for example, as 459845136 + 5035536 = 21444^2 + 2244^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×464880672² = 432228078398343168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (464880677) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19479 + ... + 36182.

Almost surely, 2^464880672 is an apocalyptic number.

It is an amenable number.

464880672 is an abundant number, since it is smaller than the sum of its proper divisors (902734668).

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

464880672 is a wasteful number, since it uses less digits than its factorization.

464880672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55706 (or 55695 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 464880672 is about 21561.0916235705. The cubic root of 464880672 is about 774.6648134992.

The spelling of 464880672 in words is "four hundred sixty-four million, eight hundred eighty thousand, six hundred seventy-two".