481325760 has 448 divisors, whose sum is σ = 1876348800. Its totient is φ = 115605504.

The previous prime is 481325759. The next prime is 481325771. The reversal of 481325760 is 67523184.

481325760 is a `hidden beast` number, since 4 + 81 + 3 + 2 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4259464 + ... + 4259576.

Almost surely, 2^481325760 is an apocalyptic number.

481325760 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 481325760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938174400).

481325760 is an abundant number, since it is smaller than the sum of its proper divisors (1395023040).

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

481325760 is a wasteful number, since it uses less digits than its factorization.

481325760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 481325760 is about 21939.1376311832. The cubic root of 481325760 is about 783.6937232090.

The spelling of 481325760 in words is "four hundred eighty-one million, three hundred twenty-five thousand, seven hundred sixty".