460527408 has 60 divisors (see below), whose sum is σ = 1406008968. Its totient is φ = 139553280.

The previous prime is 460527349. The next prime is 460527437. The reversal of 460527408 is 804725064.

460527408 is a `hidden beast` number, since 4 + 605 + 2 + 7 + 40 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143785 + ... + 146952.

Almost surely, 2^460527408 is an apocalyptic number.

460527408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

460527408 is an abundant number, since it is smaller than the sum of its proper divisors (945481560).

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

460527408 is a wasteful number, since it uses less digits than its factorization.

460527408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290762 (or 290753 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 460527408 is about 21459.9023296939. The cubic root of 460527408 is about 772.2391716914.

The spelling of 460527408 in words is "four hundred sixty million, five hundred twenty-seven thousand, four hundred eight".