408057966 has 16 divisors (see below), whose sum is σ = 906795600. Its totient is φ = 136019304.

The previous prime is 408057961. The next prime is 408057977. The reversal of 408057966 is 669750804.

It is a super-2 number, since 2×408057966² = 333022607232114312, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) 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 (408057961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3778261 + ... + 3778368.

It is an arithmetic number, because the mean of its divisors is an integer number (56674725).

Almost surely, 2^408057966 is an apocalyptic number.

408057966 is an abundant number, since it is smaller than the sum of its proper divisors (498737634).

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

408057966 is a wasteful number, since it uses less digits than its factorization.

408057966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7556640 (or 7556634 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 408057966 is about 20200.4446980753. Note that the first 3 decimals coincide. The cubic root of 408057966 is about 741.7210768370.

The spelling of 408057966 in words is "four hundred eight million, fifty-seven thousand, nine hundred sixty-six".