415409904 has 160 divisors (see below), whose sum is σ = 1467683840. Its totient is φ = 109548288.

The previous prime is 415409899. The next prime is 415409927. The reversal of 415409904 is 409904514.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34029 + ... + 44595.

It is an arithmetic number, because the mean of its divisors is an integer number (9173024).

Almost surely, 2^415409904 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 415409904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733841920).

415409904 is an abundant number, since it is smaller than the sum of its proper divisors (1052273936).

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

415409904 is a wasteful number, since it uses less digits than its factorization.

415409904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10604 (or 10592 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 415409904 is about 20381.6070023931. The cubic root of 415409904 is about 746.1490931969.

The spelling of 415409904 in words is "four hundred fifteen million, four hundred nine thousand, nine hundred four".