331117920 has 288 divisors, whose sum is σ = 1307674368. Its totient is φ = 74732544.

The previous prime is 331117907. The next prime is 331117951. The reversal of 331117920 is 29711133.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1078407 + ... + 1078713.

It is an arithmetic number, because the mean of its divisors is an integer number (4540536).

Almost surely, 2^331117920 is an apocalyptic number.

331117920 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 331117920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653837184).

331117920 is an abundant number, since it is smaller than the sum of its proper divisors (976556448).

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

331117920 is a wasteful number, since it uses less digits than its factorization.

331117920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 331117920 is about 18196.6458447704. The cubic root of 331117920 is about 691.8217768613.

The spelling of 331117920 in words is "three hundred thirty-one million, one hundred seventeen thousand, nine hundred twenty".