401159304 has 160 divisors (see below), whose sum is σ = 1383117120. Its totient is φ = 105784704.

The previous prime is 401159303. The next prime is 401159323. The reversal of 401159304 is 403951104.

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 (401159303) 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, 55567 + ... + 62369.

It is an arithmetic number, because the mean of its divisors is an integer number (8644482).

Almost surely, 2^401159304 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 401159304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691558560).

401159304 is an abundant number, since it is smaller than the sum of its proper divisors (981957816).

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

401159304 is a wasteful number, since it uses less digits than its factorization.

401159304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6841 (or 6828 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 401159304 is about 20028.9616305988. The cubic root of 401159304 is about 737.5174318967.

The spelling of 401159304 in words is "four hundred one million, one hundred fifty-nine thousand, three hundred four".