407256 has 32 divisors (see below), whose sum is σ = 1036800. Its totient is φ = 133280.

The previous prime is 407249. The next prime is 407257. The reversal of 407256 is 652704.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 407256.

It is not an unprimeable number, because it can be changed into a prime (407257) 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, 1585 + ... + 1823.

It is an arithmetic number, because the mean of its divisors is an integer number (32400).

2⁴⁰⁷²⁵⁶ is an apocalyptic number.

It is an amenable number.

407256 is an abundant number, since it is smaller than the sum of its proper divisors (629544).

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

407256 is a wasteful number, since it uses less digits than its factorization.

407256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 407256 is about 638.1661225731. The cubic root of 407256 is about 74.1234850825.

The spelling of 407256 in words is "four hundred seven thousand, two hundred fifty-six".