331809088 has 56 divisors (see below), whose sum is σ = 717209640. Its totient is φ = 151388160.

The previous prime is 331809083. The next prime is 331809119. The reversal of 331809088 is 880908133.

It can be written as a sum of positive squares in 4 ways, for example, as 10969344 + 320839744 = 3312^2 + 17912^2 .

It is a super-2 number, since 2×331809088² = 220194541758783488, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 331809088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331809083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71808 + ... + 76288.

It is an arithmetic number, because the mean of its divisors is an integer number (12807315).

Almost surely, 2^331809088 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 331809088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358604820).

331809088 is an abundant number, since it is smaller than the sum of its proper divisors (385400552).

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

331809088 is a wasteful number, since it uses less digits than its factorization.

331809088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4595 (or 4585 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 331809088 is about 18215.6275763422. The cubic root of 331809088 is about 692.3028066562.

The spelling of 331809088 in words is "three hundred thirty-one million, eight hundred nine thousand, eighty-eight".