415327616 has 64 divisors (see below), whose sum is σ = 912234960. Its totient is φ = 186777600.

The previous prime is 415327613. The next prime is 415327637. The reversal of 415327616 is 616723514.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×415327616² = 344994057224486912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415327613) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135056 + ... + 138096.

Almost surely, 2^415327616 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 415327616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456117480).

415327616 is an abundant number, since it is smaller than the sum of its proper divisors (496907344).

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

415327616 is a wasteful number, since it uses less digits than its factorization.

415327616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3163 (or 3151 counting only the distinct ones).

The product of its digits is 30240, while the sum is 35.

The square root of 415327616 is about 20379.5882195887. The cubic root of 415327616 is about 746.0998220468.

The spelling of 415327616 in words is "four hundred fifteen million, three hundred twenty-seven thousand, six hundred sixteen".