413968896 has 120 divisors (see below), whose sum is σ = 1303514784. Its totient is φ = 125429760.

The previous prime is 413968889. The next prime is 413968897. The reversal of 413968896 is 698869314.

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

It is not an unprimeable number, because it can be changed into a prime (413968897) 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, 46605 + ... + 54771.

Almost surely, 2^413968896 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 413968896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651757392).

413968896 is an abundant number, since it is smaller than the sum of its proper divisors (889545888).

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

413968896 is a wasteful number, since it uses less digits than its factorization.

413968896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8202 (or 8183 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 413968896 is about 20346.2255959183. The cubic root of 413968896 is about 745.2853259003.

The spelling of 413968896 in words is "four hundred thirteen million, nine hundred sixty-eight thousand, eight hundred ninety-six".