460252800 has 384 divisors, whose sum is σ = 1927555200. Its totient is φ = 105062400.

The previous prime is 460252783. The next prime is 460252817. The reversal of 460252800 is 8252064.

460252800 is a `hidden beast` number, since 4 + 602 + 52 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (460252783) and next prime (460252817).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 604420 + ... + 605180.

It is an arithmetic number, because the mean of its divisors is an integer number (5019675).

Almost surely, 2^460252800 is an apocalyptic number.

460252800 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 460252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963777600).

460252800 is an abundant number, since it is smaller than the sum of its proper divisors (1467302400).

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

460252800 is a wasteful number, since it uses less digits than its factorization.

460252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 460252800 is about 21453.5032104316. The cubic root of 460252800 is about 772.0856482781.

The spelling of 460252800 in words is "four hundred sixty million, two hundred fifty-two thousand, eight hundred".