406817631 has 24 divisors (see below), whose sum is σ = 644778576. Its totient is φ = 245120640.

The previous prime is 406817623. The next prime is 406817641. The reversal of 406817631 is 136718604.

406817631 is a `hidden beast` number, since 4 + 0 + 6 + 8 + 17 + 631 = 666.

It is not a de Polignac number, because 406817631 - 2³ = 406817623 is a prime.

It is a super-3 number, since 3×406817631³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (36) 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 (406817641) 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, 5251 + ... + 29003.

It is an arithmetic number, because the mean of its divisors is an integer number (26865774).

Almost surely, 2^406817631 is an apocalyptic number.

406817631 is a deficient number, since it is larger than the sum of its proper divisors (237960945).

406817631 is a wasteful number, since it uses less digits than its factorization.

406817631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23943 (or 23940 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 406817631 is about 20169.7206475449. The cubic root of 406817631 is about 740.9688011036.

The spelling of 406817631 in words is "four hundred six million, eight hundred seventeen thousand, six hundred thirty-one".