415167664 has 60 divisors (see below), whose sum is σ = 848647072. Its totient is φ = 196732800.

The previous prime is 415167653. The next prime is 415167667. The reversal of 415167664 is 466761514.

It is not an unprimeable number, because it can be changed into a prime (415167667) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1531849 + ... + 1532119.

Almost surely, 2^415167664 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 415167664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424323536).

415167664 is an abundant number, since it is smaller than the sum of its proper divisors (433479408).

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

415167664 is a wasteful number, since it uses less digits than its factorization.

415167664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 477 counting only the distinct ones).

The product of its digits is 120960, while the sum is 40.

The square root of 415167664 is about 20375.6635229383. The cubic root of 415167664 is about 746.0040298115.

The spelling of 415167664 in words is "four hundred fifteen million, one hundred sixty-seven thousand, six hundred sixty-four".