460756800 has 378 divisors, whose sum is σ = 1907925318. Its totient is φ = 105154560.

The previous prime is 460756787. The next prime is 460756817. The reversal of 460756800 is 8657064.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 5531904 + 455224896 = 2352^2 + 21336^2 .

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 53 ways as a sum of consecutive naturals, for example, 705274 + ... + 705926.

Almost surely, 2^460756800 is an apocalyptic number.

460756800 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 460756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953962659).

460756800 is an abundant number, since it is smaller than the sum of its proper divisors (1447168518).

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

460756800 is a wasteful number, since it uses less digits than its factorization.

460756800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 670 counting only the distinct ones).

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

The square root of 460756800 is about 21465.2463298235. The cubic root of 460756800 is about 772.3673696956.

The spelling of 460756800 in words is "four hundred sixty million, seven hundred fifty-six thousand, eight hundred".