413837664 has 96 divisors (see below), whose sum is σ = 1169362656. Its totient is φ = 127672320.

The previous prime is 413837663. The next prime is 413837737. The reversal of 413837664 is 466738314.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×413837664² = 342523224289953792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413837663) 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, 97474 + ... + 101630.

It is an arithmetic number, because the mean of its divisors is an integer number (12180861).

Almost surely, 2^413837664 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 413837664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584681328).

413837664 is an abundant number, since it is smaller than the sum of its proper divisors (755524992).

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

413837664 is a wasteful number, since it uses less digits than its factorization.

413837664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4248 (or 4240 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 413837664 is about 20343.0003686772. Note that the first 3 decimals coincide. The cubic root of 413837664 is about 745.2065634444.

The spelling of 413837664 in words is "four hundred thirteen million, eight hundred thirty-seven thousand, six hundred sixty-four".