407560 has 32 divisors (see below), whose sum is σ = 959040. Its totient is φ = 155584.

The previous prime is 407527. The next prime is 407567. The reversal of 407560 is 65704.

407560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×407560² = 332210307200, which contains 22 as substring.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (407567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 699 + ... + 1141.

It is an arithmetic number, because the mean of its divisors is an integer number (29970).

2⁴⁰⁷⁵⁶⁰ is an apocalyptic number.

407560 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 407560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479520).

407560 is an abundant number, since it is smaller than the sum of its proper divisors (551480).

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

407560 is a wasteful number, since it uses less digits than its factorization.

407560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 407560 is about 638.4042606374. The cubic root of 407560 is about 74.1419238819.

The spelling of 407560 in words is "four hundred seven thousand, five hundred sixty".