401691312 has 200 divisors, whose sum is σ = 1335956160. Its totient is φ = 115240320.

The previous prime is 401691299. The next prime is 401691313. The reversal of 401691312 is 213196104.

It is a super-2 number, since 2×401691312² = 322711820272562688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (401691313) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 270123 + ... + 271605.

Almost surely, 2^401691312 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 401691312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667978080).

401691312 is an abundant number, since it is smaller than the sum of its proper divisors (934264848).

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

401691312 is a wasteful number, since it uses less digits than its factorization.

401691312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 401691312 is about 20042.2381983650. The cubic root of 401691312 is about 737.8433139500.

The spelling of 401691312 in words is "four hundred one million, six hundred ninety-one thousand, three hundred twelve".