407976 has 32 divisors (see below), whose sum is σ = 1036800. Its totient is φ = 133760.

The previous prime is 407971. The next prime is 407977. The reversal of 407976 is 679704.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (407971) by changing a digit.

407976 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 7 ways as a sum of consecutive naturals, for example, 2041 + ... + 2231.

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

2⁴⁰⁷⁹⁷⁶ is an apocalyptic number.

It is an amenable number.

407976 is an abundant number, since it is smaller than the sum of its proper divisors (628824).

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

407976 is a wasteful number, since it uses less digits than its factorization.

407976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 407976 is about 638.7299899018. The cubic root of 407976 is about 74.1671410706.

The spelling of 407976 in words is "four hundred seven thousand, nine hundred seventy-six".