407464 has 24 divisors (see below), whose sum is σ = 804330. Its totient is φ = 193440.

The previous prime is 407437. The next prime is 407471. The reversal of 407464 is 464704.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 311364 + 96100 = 558^2 + 310^2 .

It is a super-2 number, since 2×407464² = 332053822592, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7662 + ... + 7714.

2⁴⁰⁷⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

407464 is a deficient number, since it is larger than the sum of its proper divisors (396866).

407464 is a wasteful number, since it uses less digits than its factorization.

407464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 407464 is about 638.3290687412. The cubic root of 407464 is about 74.1361020940.

The spelling of 407464 in words is "four hundred seven thousand, four hundred sixty-four".