481709120 has 28 divisors (see below), whose sum is σ = 1147070604. Its totient is φ = 192683520.

The previous prime is 481709119. The next prime is 481709143. The reversal of 481709120 is 21907184.

It can be written as a sum of positive squares in 2 ways, for example, as 90935296 + 390773824 = 9536^2 + 19768^2 .

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 3 ways as a sum of consecutive naturals, for example, 752351 + ... + 752990.

Almost surely, 2^481709120 is an apocalyptic number.

481709120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

481709120 is an abundant number, since it is smaller than the sum of its proper divisors (665361484).

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

481709120 is a wasteful number, since it uses less digits than its factorization.

481709120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505358 (or 1505348 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 481709120 is about 21947.8727898628. The cubic root of 481709120 is about 783.9017300125.

The spelling of 481709120 in words is "four hundred eighty-one million, seven hundred nine thousand, one hundred twenty".