407460 has 24 divisors (see below), whose sum is σ = 1141056. Its totient is φ = 108640.

The previous prime is 407437. The next prime is 407471. The reversal of 407460 is 64704.

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, 3336 + ... + 3455.

It is an arithmetic number, because the mean of its divisors is an integer number (47544).

2⁴⁰⁷⁴⁶⁰ is an apocalyptic number.

It is an amenable number.

407460 is an abundant number, since it is smaller than the sum of its proper divisors (733596).

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

407460 is a wasteful number, since it uses less digits than its factorization.

407460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6803 (or 6801 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 407460 is about 638.3259355533. The cubic root of 407460 is about 74.1358594996.

The spelling of 407460 in words is "four hundred seven thousand, four hundred sixty".