415220904 has 168 divisors, whose sum is σ = 1358784810. Its totient is φ = 118552896.

The previous prime is 415220891. The next prime is 415220917. The reversal of 415220904 is 409022514.

It is an interprime number because it is at equal distance from previous prime (415220891) and next prime (415220917).

It can be written as a sum of positive squares in only one way, i.e., 240188004 + 175032900 = 15498^2 + 13230^2 .

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 285042 + ... + 286494.

Almost surely, 2^415220904 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 415220904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679392405).

415220904 is an abundant number, since it is smaller than the sum of its proper divisors (943563906).

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

415220904 is a wasteful number, since it uses less digits than its factorization.

415220904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 415220904 is about 20376.9699415787. The cubic root of 415220904 is about 746.0359169745.

The spelling of 415220904 in words is "four hundred fifteen million, two hundred twenty thousand, nine hundred four".