481180800 has 96 divisors (see below), whose sum is σ = 1584920880. Its totient is φ = 128312320.

The previous prime is 481180787. The next prime is 481180811. The reversal of 481180800 is 8081184.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 15462 + ... + 34661.

Almost surely, 2^481180800 is an apocalyptic number.

481180800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

481180800 is an abundant number, since it is smaller than the sum of its proper divisors (1103740080).

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

481180800 is a wasteful number, since it uses less digits than its factorization.

481180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50150 (or 50133 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

The square root of 481180800 is about 21935.8336974002. The cubic root of 481180800 is about 783.6150407739.

The spelling of 481180800 in words is "four hundred eighty-one million, one hundred eighty thousand, eight hundred".