460300800 has 120 divisors (see below), whose sum is σ = 1520701776. Its totient is φ = 122736640.

The previous prime is 460300769. The next prime is 460300861. The reversal of 460300800 is 8003064.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32407 + ... + 44393.

Almost surely, 2^460300800 is an apocalyptic number.

460300800 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 460300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760350888).

460300800 is an abundant number, since it is smaller than the sum of its proper divisors (1060400976).

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

460300800 is a wasteful number, since it uses less digits than its factorization.

460300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12018 (or 11997 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 460300800 is about 21454.6218796790. The cubic root of 460300800 is about 772.1124877475.

Adding to 460300800 its reverse (8003064), we get a palindrome (468303864).

The spelling of 460300800 in words is "four hundred sixty million, three hundred thousand, eight hundred".