401312500 has 42 divisors (see below), whose sum is σ = 877996574. Its totient is φ = 160500000.

The previous prime is 401312497. The next prime is 401312521. The reversal of 401312500 is 5213104.

It can be written as a sum of positive squares in 7 ways, for example, as 392515344 + 8797156 = 19812^2 + 2966^2 .

It is a super-2 number, since 2×401312500² = 322103445312500000, 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 13 ways as a sum of consecutive naturals, for example, 59290 + ... + 65710.

Almost surely, 2^401312500 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 401312500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438998287).

401312500 is an abundant number, since it is smaller than the sum of its proper divisors (476684074).

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

401312500 is an frugal number, since it uses more digits than its factorization.

401312500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6455 (or 6428 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 401312500 is about 20032.7856275656. The cubic root of 401312500 is about 737.6113017884.

Adding to 401312500 its reverse (5213104), we get a palindrome (406525604).

The spelling of 401312500 in words is "four hundred one million, three hundred twelve thousand, five hundred".