401310468 has 72 divisors (see below), whose sum is σ = 1130165400. Its totient is φ = 119218176.

The previous prime is 401310467. The next prime is 401310479. The reversal of 401310468 is 864013104.

It can be written as a sum of positive squares in 4 ways, for example, as 20358144 + 380952324 = 4512^2 + 19518^2 .

It is a super-2 number, since 2×401310468² = 322100183452758048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401310461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1213 + ... + 28356.

Almost surely, 2^401310468 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 401310468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565082700).

401310468 is an abundant number, since it is smaller than the sum of its proper divisors (728854932).

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

401310468 is a wasteful number, since it uses less digits than its factorization.

401310468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29621 (or 29616 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 401310468 is about 20032.7349106406. The cubic root of 401310468 is about 737.6100568494.

The spelling of 401310468 in words is "four hundred one million, three hundred ten thousand, four hundred sixty-eight".