407956 has 12 divisors (see below), whose sum is σ = 723520. Its totient is φ = 201240.

The previous prime is 407947. The next prime is 407959. The reversal of 407956 is 659704.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407959) by changing a digit.

407956 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 330 + ... + 961.

2⁴⁰⁷⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

407956 is a deficient number, since it is larger than the sum of its proper divisors (315564).

407956 is a wasteful number, since it uses less digits than its factorization.

407956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 407956 is about 638.7143336422. The cubic root of 407956 is about 74.1659290981.

The spelling of 407956 in words is "four hundred seven thousand, nine hundred fifty-six".