331324560 has 320 divisors, whose sum is σ = 1382054400. Its totient is φ = 71221248.

The previous prime is 331324481. The next prime is 331324561. The reversal of 331324560 is 65423133.

It is a happy number.

331324560 is a `hidden beast` number, since 331 + 324 + 5 + 6 + 0 = 666.

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 (331324561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 256396 + ... + 257684.

It is an arithmetic number, because the mean of its divisors is an integer number (4318920).

Almost surely, 2^331324560 is an apocalyptic number.

331324560 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 331324560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691027200).

331324560 is an abundant number, since it is smaller than the sum of its proper divisors (1050729840).

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

331324560 is a wasteful number, since it uses less digits than its factorization.

331324560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 331324560 is about 18202.3229286814. The cubic root of 331324560 is about 691.9656614767.

Adding to 331324560 its reverse (65423133), we get a palindrome (396747693).

The spelling of 331324560 in words is "three hundred thirty-one million, three hundred twenty-four thousand, five hundred sixty".