415099008 has 96 divisors (see below), whose sum is σ = 1198770300. Its totient is φ = 137871360.

The previous prime is 415098989. The next prime is 415099033. The reversal of 415099008 is 800990514.

It can be written as a sum of positive squares in 2 ways, for example, as 413227584 + 1871424 = 20328^2 + 1368^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

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 11 ways as a sum of consecutive naturals, for example, 470728 + ... + 471608.

Almost surely, 2^415099008 is an apocalyptic number.

415099008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415099008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599385150).

415099008 is an abundant number, since it is smaller than the sum of its proper divisors (783671292).

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

415099008 is a wasteful number, since it uses less digits than its factorization.

415099008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 415099008 is about 20373.9786983299. The cubic root of 415099008 is about 745.9629054813.

The spelling of 415099008 in words is "four hundred fifteen million, ninety-nine thousand, eight".