460857600 has 540 divisors, whose sum is σ = 1962763264. Its totient is φ = 104509440.

The previous prime is 460857599. The next prime is 460857611. The reversal of 460857600 is 6758064.

It is a happy number.

460857600 is a `hidden beast` number, since 46 + 0 + 8 + 5 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3628737 + ... + 3628863.

Almost surely, 2^460857600 is an apocalyptic number.

460857600 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 460857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981381632).

460857600 is an abundant number, since it is smaller than the sum of its proper divisors (1501905664).

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

460857600 is a wasteful number, since it uses less digits than its factorization.

460857600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 460857600 is about 21467.5941828608. The cubic root of 460857600 is about 772.4236893231.

The spelling of 460857600 in words is "four hundred sixty million, eight hundred fifty-seven thousand, six hundred".