401316864 has 132 divisors (see below), whose sum is σ = 1159764696. Its totient is φ = 123322368.

The previous prime is 401316863. The next prime is 401316871. The reversal of 401316864 is 468613104.

It is a super-2 number, since 2×401316864² = 322110450661588992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401316863) 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, 518782 + ... + 519554.

Almost surely, 2^401316864 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 401316864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579882348).

401316864 is an abundant number, since it is smaller than the sum of its proper divisors (758447832).

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

401316864 is a wasteful number, since it uses less digits than its factorization.

401316864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 401316864 is about 20032.8945487166. The cubic root of 401316864 is about 737.6139754521.

Adding to 401316864 its reverse (468613104), we get a palindrome (869929968).

The spelling of 401316864 in words is "four hundred one million, three hundred sixteen thousand, eight hundred sixty-four".