409482284904 has 128 divisors (see below), whose sum is σ = 1418120524800. Its totient is φ = 106359030720.

The previous prime is 409482284899. The next prime is 409482284921.

It is a happy number.

409482284904 is a `hidden beast` number, since 40 + 94 + 8 + 2 + 28 + 490 + 4 = 666.

409482284904 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12293442 + ... + 12326705.

It is an arithmetic number, because the mean of its divisors is an integer number (11079066600).

Almost surely, 2^409482284904 is an apocalyptic number.

409482284904 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

409482284904 is an abundant number, since it is smaller than the sum of its proper divisors (1008638239896).

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

409482284904 is a wasteful number, since it uses less digits than its factorization.

409482284904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24620180 (or 24620170 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 409482284904 in words is "four hundred nine billion, four hundred eighty-two million, two hundred eighty-four thousand, nine hundred four".