413644288 has 80 divisors (see below), whose sum is σ = 880680240. Its totient is φ = 193536000.

The previous prime is 413644279. The next prime is 413644369. The reversal of 413644288 is 882446314.

It is a happy number.

It is a super-2 number, since 2×413644288² = 342203193990053888, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 413644288.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 982318 + ... + 982738.

It is an arithmetic number, because the mean of its divisors is an integer number (11008503).

Almost surely, 2^413644288 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 413644288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440340120).

413644288 is an abundant number, since it is smaller than the sum of its proper divisors (467035952).

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

413644288 is a wasteful number, since it uses less digits than its factorization.

413644288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 543 counting only the distinct ones).

The product of its digits is 147456, while the sum is 40.

The square root of 413644288 is about 20338.2469254358. The cubic root of 413644288 is about 745.0904732249.

The spelling of 413644288 in words is "four hundred thirteen million, six hundred forty-four thousand, two hundred eighty-eight".