464664960 has 96 divisors (see below), whose sum is σ = 1604566080. Its totient is φ = 123909120.

The previous prime is 464664947. The next prime is 464664971. The reversal of 464664960 is 69466464.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 11 ways as a sum of consecutive naturals, for example, 34576 + ... + 46095.

It is an arithmetic number, because the mean of its divisors is an integer number (16714230).

Almost surely, 2^464664960 is an apocalyptic number.

464664960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464664960 is an abundant number, since it is smaller than the sum of its proper divisors (1139901120).

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

464664960 is a wasteful number, since it uses less digits than its factorization.

464664960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80696 (or 80681 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 464664960 is about 21556.0886990196. The cubic root of 464664960 is about 774.5449760446.

The spelling of 464664960 in words is "four hundred sixty-four million, six hundred sixty-four thousand, nine hundred sixty".