407631 has 24 divisors (see below), whose sum is σ = 656640. Its totient is φ = 224112.

The previous prime is 407621. The next prime is 407633. The reversal of 407631 is 136704.

It is not a de Polignac number, because 407631 - 2⁵ = 407599 is a prime.

It is a super-2 number, since 2×407631² = 332326064322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 407598 and 407607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6880 + ... + 6938.

It is an arithmetic number, because the mean of its divisors is an integer number (27360).

2⁴⁰⁷⁶³¹ is an apocalyptic number.

407631 is a deficient number, since it is larger than the sum of its proper divisors (249009).

407631 is a wasteful number, since it uses less digits than its factorization.

407631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 407631 is about 638.4598656141. The cubic root of 407631 is about 74.1462289911.

The spelling of 407631 in words is "four hundred seven thousand, six hundred thirty-one".