413324736 has 224 divisors, whose sum is σ = 1264066560. Its totient is φ = 118041600.

The previous prime is 413324713. The next prime is 413324741. The reversal of 413324736 is 637423314.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 413324697 and 413324706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3862795 + ... + 3862901.

Almost surely, 2^413324736 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 413324736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632033280).

413324736 is an abundant number, since it is smaller than the sum of its proper divisors (850741824).

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

413324736 is a wasteful number, since it uses less digits than its factorization.

413324736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 213 counting only the distinct ones).

The product of its digits is 36288, while the sum is 33.

The square root of 413324736 is about 20330.3894699536. The cubic root of 413324736 is about 744.8985559214.

The spelling of 413324736 in words is "four hundred thirteen million, three hundred twenty-four thousand, seven hundred thirty-six".