331980000 has 240 divisors, whose sum is σ = 1190318976. Its totient is φ = 80320000.

The previous prime is 331979957. The next prime is 331980001. The reversal of 331980000 is 89133.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×331980000² = 220421440800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331980001) 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, 659749 + ... + 660251.

Almost surely, 2^331980000 is an apocalyptic number.

331980000 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 331980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595159488).

331980000 is an abundant number, since it is smaller than the sum of its proper divisors (858338976).

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

331980000 is a wasteful number, since it uses less digits than its factorization.

331980000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 331980000 is about 18220.3183287230. The cubic root of 331980000 is about 692.4216526550.

It can be divided in two parts, 3 and 31980000, that added together give a triangular number (31980003 = T₇₉₉₇).

The spelling of 331980000 in words is "three hundred thirty-one million, nine hundred eighty thousand".