415118088 has 192 divisors, whose sum is σ = 1449168000. Its totient is φ = 107775360.

The previous prime is 415118069. The next prime is 415118089. The reversal of 415118088 is 880811514.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (415118089) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 181818 + ... + 184086.

It is an arithmetic number, because the mean of its divisors is an integer number (7547750).

Almost surely, 2^415118088 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 415118088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724584000).

415118088 is an abundant number, since it is smaller than the sum of its proper divisors (1034049912).

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

415118088 is a wasteful number, since it uses less digits than its factorization.

415118088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

The square root of 415118088 is about 20374.4469372791. The cubic root of 415118088 is about 745.9743346857.

The spelling of 415118088 in words is "four hundred fifteen million, one hundred eighteen thousand, eighty-eight".