415956816 has 320 divisors, whose sum is σ = 1457049600. Its totient is φ = 111974400.

The previous prime is 415956811. The next prime is 415956857. The reversal of 415956816 is 618659514.

415956816 is a `hidden beast` number, since 41 + 595 + 6 + 8 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415956811) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1534761 + ... + 1535031.

It is an arithmetic number, because the mean of its divisors is an integer number (4553280).

Almost surely, 2^415956816 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 415956816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728524800).

415956816 is an abundant number, since it is smaller than the sum of its proper divisors (1041092784).

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

415956816 is a wasteful number, since it uses less digits than its factorization.

415956816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 323 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 415956816 is about 20395.0193919986. The cubic root of 415956816 is about 746.4763995783.

The spelling of 415956816 in words is "four hundred fifteen million, nine hundred fifty-six thousand, eight hundred sixteen".