481248160 has 48 divisors (see below), whose sum is σ = 1164695112. Its totient is φ = 187801600.

The previous prime is 481248149. The next prime is 481248197. The reversal of 481248160 is 61842184.

It can be written as a sum of positive squares in 4 ways, for example, as 344919184 + 136328976 = 18572^2 + 11676^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30121 + ... + 43240.

Almost surely, 2^481248160 is an apocalyptic number.

481248160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

481248160 is an abundant number, since it is smaller than the sum of its proper divisors (683446952).

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

481248160 is a wasteful number, since it uses less digits than its factorization.

481248160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73417 (or 73409 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 481248160 is about 21937.3690309481. The cubic root of 481248160 is about 783.6516048860.

The spelling of 481248160 in words is "four hundred eighty-one million, two hundred forty-eight thousand, one hundred sixty".