401268312 has 96 divisors (see below), whose sum is σ = 1120916160. Its totient is φ = 129600000.

The previous prime is 401268299. The next prime is 401268313. The reversal of 401268312 is 213862104.

It is a super-2 number, since 2×401268312² = 322032516430658688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401268313) 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, 533937 + ... + 534687.

It is an arithmetic number, because the mean of its divisors is an integer number (11676210).

Almost surely, 2^401268312 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 401268312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560458080).

401268312 is an abundant number, since it is smaller than the sum of its proper divisors (719647848).

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

401268312 is a wasteful number, since it uses less digits than its factorization.

401268312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 978 counting only the distinct ones).

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

The square root of 401268312 is about 20031.6827051549. The cubic root of 401268312 is about 737.5842283194.

The spelling of 401268312 in words is "four hundred one million, two hundred sixty-eight thousand, three hundred twelve".