408688464006 has 32 divisors (see below), whose sum is σ = 908224590720. Its totient is φ = 136225287432.

The previous prime is 408688463933. The next prime is 408688464013. The reversal of 408688464006 is 600464886804.

408688464006 is a `hidden beast` number, since 40 + 86 + 88 + 46 + 400 + 6 = 666.

408688464006 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×408688464006² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2004621 + ... + 2199063.

It is an arithmetic number, because the mean of its divisors is an integer number (28382018460).

Almost surely, 2^408688464006 is an apocalyptic number.

408688464006 is an abundant number, since it is smaller than the sum of its proper divisors (499536126714).

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

408688464006 is a wasteful number, since it uses less digits than its factorization.

408688464006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233377 (or 233371 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 408688464006 in words is "four hundred eight billion, six hundred eighty-eight million, four hundred sixty-four thousand, six".