409893398904 has 64 divisors (see below), whose sum is σ = 1117980051840. Its totient is φ = 124200236160.

The previous prime is 409893398869. The next prime is 409893398911.

409893398904 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 3693327 + ... + 3802689.

It is an arithmetic number, because the mean of its divisors is an integer number (17468438310).

Almost surely, 2^409893398904 is an apocalyptic number.

409893398904 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

409893398904 is an abundant number, since it is smaller than the sum of its proper divisors (708086652936).

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

409893398904 is a wasteful number, since it uses less digits than its factorization.

409893398904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123580 (or 123576 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 66.

The spelling of 409893398904 in words is "four hundred nine billion, eight hundred ninety-three million, three hundred ninety-eight thousand, nine hundred four".