413383464 has 144 divisors (see below), whose sum is σ = 1237127580. Its totient is φ = 124600320.

The previous prime is 413383459. The next prime is 413383483. The reversal of 413383464 is 464383314.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 189282564 + 224100900 = 13758^2 + 14970^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 644584 + ... + 645224.

Almost surely, 2^413383464 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 413383464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618563790).

413383464 is an abundant number, since it is smaller than the sum of its proper divisors (823744116).

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

413383464 is a wasteful number, since it uses less digits than its factorization.

413383464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 712 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 413383464 is about 20331.8337589112. The cubic root of 413383464 is about 744.9338343412.

The spelling of 413383464 in words is "four hundred thirteen million, three hundred eighty-three thousand, four hundred sixty-four".