409949904 has 160 divisors (see below), whose sum is σ = 1315471360. Its totient is φ = 107122176.

The previous prime is 409949851. The next prime is 409949929.

409949904 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 554367 + ... + 555105.

It is an arithmetic number, because the mean of its divisors is an integer number (8221696).

Almost surely, 2^409949904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409949904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657735680).

409949904 is an abundant number, since it is smaller than the sum of its proper divisors (905521456).

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

409949904 is a wasteful number, since it uses less digits than its factorization.

409949904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 409949904 is about 20247.2196609806. The cubic root of 409949904 is about 742.8656259105.

The spelling of 409949904 in words is "four hundred nine million, nine hundred forty-nine thousand, nine hundred four".