415308096 has 336 divisors, whose sum is σ = 1477816704. Its totient is φ = 108822528.

The previous prime is 415308083. The next prime is 415308107. The reversal of 415308096 is 690803514.

415308096 is a `hidden beast` number, since 41 + 530 + 80 + 9 + 6 = 666.

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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 415308096.

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, 5003671 + ... + 5003753.

It is an arithmetic number, because the mean of its divisors is an integer number (4398264).

Almost surely, 2^415308096 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 415308096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738908352).

415308096 is an abundant number, since it is smaller than the sum of its proper divisors (1062508608).

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

415308096 is a wasteful number, since it uses less digits than its factorization.

415308096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 185 counting only the distinct ones).

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

The square root of 415308096 is about 20379.1093034019. The cubic root of 415308096 is about 746.0881332048.

The spelling of 415308096 in words is "four hundred fifteen million, three hundred eight thousand, ninety-six".