415012896 has 216 divisors, whose sum is σ = 1313086320. Its totient is φ = 128583936.

The previous prime is 415012879. The next prime is 415012901. The reversal of 415012896 is 698210514.

415012896 is a `hidden beast` number, since 41 + 501 + 28 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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 415012896.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7830406 + ... + 7830458.

Almost surely, 2^415012896 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 415012896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656543160).

415012896 is an abundant number, since it is smaller than the sum of its proper divisors (898073424).

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

415012896 is an equidigital number, since it uses as much as digits as its factorization.

415012896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 415012896 is about 20371.8653048757. The cubic root of 415012896 is about 745.9113187523.

The spelling of 415012896 in words is "four hundred fifteen million, twelve thousand, eight hundred ninety-six".