415665712 has 80 divisors (see below), whose sum is σ = 1020720384. Its totient is φ = 159264000.

The previous prime is 415665707. The next prime is 415665713. The reversal of 415665712 is 217566514.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (415665713) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72387 + ... + 77917.

Almost surely, 2^415665712 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 415665712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510360192).

415665712 is an abundant number, since it is smaller than the sum of its proper divisors (605054672).

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

415665712 is a wasteful number, since it uses less digits than its factorization.

415665712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5618 (or 5612 counting only the distinct ones).

The product of its digits is 50400, while the sum is 37.

The square root of 415665712 is about 20387.8814985766. The cubic root of 415665712 is about 746.3022204571.

It can be divided in two parts, 41566 and 5712, that added together give a triangular number (47278 = T₃₀₇).

The spelling of 415665712 in words is "four hundred fifteen million, six hundred sixty-five thousand, seven hundred twelve".