406882404 has 18 divisors (see below), whose sum is σ = 1028508390. Its totient is φ = 135627456.

The previous prime is 406882379. The next prime is 406882417. The reversal of 406882404 is 404288604.

406882404 is a `hidden beast` number, since 406 + 8 + 8 + 240 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 401601600 + 5280804 = 20040^2 + 2298^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 11302289 = 406882404 / (4 + 0 + 6 + 8 + 8 + 2 + 4 + 0 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5651109 + ... + 5651180.

It is an arithmetic number, because the mean of its divisors is an integer number (57139355).

Almost surely, 2^406882404 is an apocalyptic number.

It is an amenable number.

406882404 is an abundant number, since it is smaller than the sum of its proper divisors (621625986).

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

406882404 is a wasteful number, since it uses less digits than its factorization.

406882404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11302299 (or 11302294 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 406882404 is about 20171.3262826221. The cubic root of 406882404 is about 741.0081243953.

The spelling of 406882404 in words is "four hundred six million, eight hundred eighty-two thousand, four hundred four".