406074972 has 48 divisors (see below), whose sum is σ = 974167040. Its totient is φ = 131580288.

The previous prime is 406074961. The next prime is 406075001. The reversal of 406074972 is 279470604.

It is a self number, because there is not a number n which added to its sum of digits gives 406074972.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113304 + ... + 116832.

Almost surely, 2^406074972 is an apocalyptic number.

It is an amenable number.

406074972 is an abundant number, since it is smaller than the sum of its proper divisors (568092068).

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

406074972 is a wasteful number, since it uses less digits than its factorization.

406074972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3802 (or 3800 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 406074972 is about 20151.3019926753. The cubic root of 406074972 is about 740.5176387950.

The spelling of 406074972 in words is "four hundred six million, seventy-four thousand, nine hundred seventy-two".