415326912 has 224 divisors, whose sum is σ = 1476109824. Its totient is φ = 99532800.

The previous prime is 415326911. The next prime is 415326913. The reversal of 415326912 is 219623514.

It is an interprime number because it is at equal distance from previous prime (415326911) and next prime (415326913).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (415326911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191112 + ... + 193272.

It is an arithmetic number, because the mean of its divisors is an integer number (6589776).

Almost surely, 2^415326912 is an apocalyptic number.

415326912 is a gapful number since it is divisible by the number (42) 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 415326912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738054912).

415326912 is an abundant number, since it is smaller than the sum of its proper divisors (1060782912).

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

415326912 is a wasteful number, since it uses less digits than its factorization.

415326912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2207 (or 2197 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 415326912 is about 20379.5709473973. The cubic root of 415326912 is about 746.0994004884.

The spelling of 415326912 in words is "four hundred fifteen million, three hundred twenty-six thousand, nine hundred twelve".