413877312 has 84 divisors (see below), whose sum is σ = 1190965360. Its totient is φ = 137417472.

The previous prime is 413877307. The next prime is 413877319. The reversal of 413877312 is 213778314.

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

It is not an unprimeable number, because it can be changed into a prime (413877319) 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, 161739 + ... + 164277.

Almost surely, 2^413877312 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 413877312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595482680).

413877312 is an abundant number, since it is smaller than the sum of its proper divisors (777088048).

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

413877312 is a wasteful number, since it uses less digits than its factorization.

413877312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840 (or 2827 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 413877312 is about 20343.9748328590. The cubic root of 413877312 is about 745.2303610257.

The spelling of 413877312 in words is "four hundred thirteen million, eight hundred seventy-seven thousand, three hundred twelve".