406404464 has 40 divisors (see below), whose sum is σ = 811354320. Its totient is φ = 197081600.

The previous prime is 406404421. The next prime is 406404517. The reversal of 406404464 is 464404604.

It is a self number, because there is not a number n which added to its sum of digits gives 406404464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115694 + ... + 119154.

It is an arithmetic number, because the mean of its divisors is an integer number (20283858).

Almost surely, 2^406404464 is an apocalyptic number.

It is an amenable number.

406404464 is a deficient number, since it is larger than the sum of its proper divisors (404949856).

406404464 is a wasteful number, since it uses less digits than its factorization.

406404464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3689 (or 3683 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The square root of 406404464 is about 20159.4757868353. The cubic root of 406404464 is about 740.7178716678.

The spelling of 406404464 in words is "four hundred six million, four hundred four thousand, four hundred sixty-four".