482460800 has 48 divisors (see below), whose sum is σ = 1191836850. Its totient is φ = 192983040.

The previous prime is 482460793. The next prime is 482460851. The reversal of 482460800 is 8064284.

It can be written as a sum of positive squares in 3 ways, for example, as 466905664 + 15555136 = 21608^2 + 3944^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72185 + ... + 78584.

Almost surely, 2^482460800 is an apocalyptic number.

482460800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

482460800 is an abundant number, since it is smaller than the sum of its proper divisors (709376050).

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

482460800 is a wasteful number, since it uses less digits than its factorization.

482460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150793 (or 150776 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 482460800 is about 21964.9903255157. The cubic root of 482460800 is about 784.3092629681.

The spelling of 482460800 in words is "four hundred eighty-two million, four hundred sixty thousand, eight hundred".