460546800 has 240 divisors, whose sum is σ = 1704890880. Its totient is φ = 104094720.

The previous prime is 460546799. The next prime is 460546841. The reversal of 460546800 is 8645064.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 915349 + ... + 915851.

It is an arithmetic number, because the mean of its divisors is an integer number (7103712).

Almost surely, 2^460546800 is an apocalyptic number.

460546800 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 460546800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852445440).

460546800 is an abundant number, since it is smaller than the sum of its proper divisors (1244344080).

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

460546800 is a wasteful number, since it uses less digits than its factorization.

460546800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 460546800 is about 21460.3541443286. The cubic root of 460546800 is about 772.2500107508.

The spelling of 460546800 in words is "four hundred sixty million, five hundred forty-six thousand, eight hundred".