407482560 has 168 divisors, whose sum is σ = 1412357856. Its totient is φ = 107827200.

The previous prime is 407482529. The next prime is 407482573. The reversal of 407482560 is 65284704.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 434412 + ... + 435348.

It is an arithmetic number, because the mean of its divisors is an integer number (8406892).

Almost surely, 2^407482560 is an apocalyptic number.

407482560 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 407482560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706178928).

407482560 is an abundant number, since it is smaller than the sum of its proper divisors (1004875296).

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

407482560 is a wasteful number, since it uses less digits than its factorization.

407482560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 407482560 is about 20186.1972644676. The cubic root of 407482560 is about 741.3722771093.

The spelling of 407482560 in words is "four hundred seven million, four hundred eighty-two thousand, five hundred sixty".