401312464 has 80 divisors (see below), whose sum is σ = 949082112. Its totient is φ = 160642944.

The previous prime is 401312459. The next prime is 401312479. The reversal of 401312464 is 464213104.

It is a super-2 number, since 2×401312464² = 322103387523502592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108957 + ... + 112579.

Almost surely, 2^401312464 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 401312464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474541056).

401312464 is an abundant number, since it is smaller than the sum of its proper divisors (547769648).

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

401312464 is a wasteful number, since it uses less digits than its factorization.

401312464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3704 (or 3698 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 401312464 is about 20032.7847290385. The cubic root of 401312464 is about 737.6112797324.

Adding to 401312464 its reverse (464213104), we get a palindrome (865525568).

The spelling of 401312464 in words is "four hundred one million, three hundred twelve thousand, four hundred sixty-four".