400113664 has 30 divisors (see below), whose sum is σ = 800235674. Its totient is φ = 200048640.

The previous prime is 400113653. The next prime is 400113719. The reversal of 400113664 is 466311004.

It can be written as a sum of positive squares in only one way, i.e., 201867264 + 198246400 = 14208^2 + 14080^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4174 + ... + 28594.

Almost surely, 2^400113664 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 400113664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400117837).

400113664 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

400113664 is an frugal number, since it uses more digits than its factorization.

400113664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24449 (or 24423 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 400113664 is about 20002.8413981614. The cubic root of 400113664 is about 736.8760834113.

Adding to 400113664 its reverse (466311004), we get a palindrome (866424668).

The spelling of 400113664 in words is "four hundred million, one hundred thirteen thousand, six hundred sixty-four".