460764288 has 160 divisors (see below), whose sum is σ = 1444014000. Its totient is φ = 145442304.

The previous prime is 460764263. The next prime is 460764299. The reversal of 460764288 is 882467064.

460764288 is a `hidden beast` number, since 460 + 76 + 42 + 88 = 666.

It is a super-2 number, since 2×460764288² = 424607458192293888, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 195823 + ... + 198161.

Almost surely, 2^460764288 is an apocalyptic number.

460764288 is a gapful number since it is divisible by the number (48) 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 460764288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722007000).

460764288 is an abundant number, since it is smaller than the sum of its proper divisors (983249712).

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

460764288 is a wasteful number, since it uses less digits than its factorization.

460764288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2384 (or 2363 counting only the distinct ones).

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

The square root of 460764288 is about 21465.4207505933. The cubic root of 460764288 is about 772.3715537217.

The spelling of 460764288 in words is "four hundred sixty million, seven hundred sixty-four thousand, two hundred eighty-eight".