415955904 has 336 divisors, whose sum is σ = 1459382400. Its totient is φ = 103348224.

The previous prime is 415955873. The next prime is 415955927. The reversal of 415955904 is 409559514.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2323687 + ... + 2323865.

It is an arithmetic number, because the mean of its divisors is an integer number (4343400).

Almost surely, 2^415955904 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 415955904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729691200).

415955904 is an abundant number, since it is smaller than the sum of its proper divisors (1043426496).

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

415955904 is a wasteful number, since it uses less digits than its factorization.

415955904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 42.

The square root of 415955904 is about 20394.9970335864. The cubic root of 415955904 is about 746.4758540193.

The spelling of 415955904 in words is "four hundred fifteen million, nine hundred fifty-five thousand, nine hundred four".