415983312 has 30 divisors (see below), whose sum is σ = 1164175922. Its totient is φ = 138661056.

The previous prime is 415983311. The next prime is 415983361. The reversal of 415983312 is 213389514.

It can be written as a sum of positive squares in only one way, i.e., 253573776 + 162409536 = 15924^2 + 12744^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415983311) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1444243 + ... + 1444530.

Almost surely, 2^415983312 is an apocalyptic number.

It is an amenable number.

415983312 is an abundant number, since it is smaller than the sum of its proper divisors (748192610).

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

415983312 is a wasteful number, since it uses less digits than its factorization.

415983312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2888787 (or 2888778 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 415983312 is about 20395.6689520104. The cubic root of 415983312 is about 746.4922491553.

The spelling of 415983312 in words is "four hundred fifteen million, nine hundred eighty-three thousand, three hundred twelve".