331411080 has 512 divisors, whose sum is σ = 1393459200. Its totient is φ = 60825600.

The previous prime is 331411079. The next prime is 331411097. The reversal of 331411080 is 80114133.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3723676 + ... + 3723764.

It is an arithmetic number, because the mean of its divisors is an integer number (2721600).

Almost surely, 2^331411080 is an apocalyptic number.

331411080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331411080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696729600).

331411080 is an abundant number, since it is smaller than the sum of its proper divisors (1062048120).

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

331411080 is a wasteful number, since it uses less digits than its factorization.

331411080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 331411080 is about 18204.6993932885. The cubic root of 331411080 is about 692.0258880800.

The spelling of 331411080 in words is "three hundred thirty-one million, four hundred eleven thousand, eighty".