415082808 has 144 divisors (see below), whose sum is σ = 1329110640. Its totient is φ = 114635520.

The previous prime is 415082807. The next prime is 415082809. The reversal of 415082808 is 808280514.

It is an interprime number because it is at equal distance from previous prime (415082807) and next prime (415082809).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415082807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 483916 + ... + 484772.

It is an arithmetic number, because the mean of its divisors is an integer number (9229935).

Almost surely, 2^415082808 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 415082808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664555320).

415082808 is an abundant number, since it is smaller than the sum of its proper divisors (914027832).

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

415082808 is a wasteful number, since it uses less digits than its factorization.

415082808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 415082808 is about 20373.5811285105. The cubic root of 415082808 is about 745.9532011650.

The spelling of 415082808 in words is "four hundred fifteen million, eighty-two thousand, eight hundred eight".