464908960 has 96 divisors (see below), whose sum is σ = 1130879232. Its totient is φ = 180526080.

The previous prime is 464908957. The next prime is 464908973. The reversal of 464908960 is 69809464.

It is a super-2 number, since 2×464908960² = 432280682176563200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 464908960.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1586574 + ... + 1586866.

It is an arithmetic number, because the mean of its divisors is an integer number (11779992).

Almost surely, 2^464908960 is an apocalyptic number.

464908960 is a gapful number since it is divisible by the number (40) 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 464908960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565439616).

464908960 is an abundant number, since it is smaller than the sum of its proper divisors (665970272).

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

464908960 is a wasteful number, since it uses less digits than its factorization.

464908960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The square root of 464908960 is about 21561.7476100617. The cubic root of 464908960 is about 774.6805259713.

The spelling of 464908960 in words is "four hundred sixty-four million, nine hundred eight thousand, nine hundred sixty".