331621248 has 128 divisors (see below), whose sum is σ = 1016997120. Its totient is φ = 93782016.

The previous prime is 331621247. The next prime is 331621319. The reversal of 331621248 is 842126133.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331621247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287040 + ... + 288192.

It is an arithmetic number, because the mean of its divisors is an integer number (7945290).

Almost surely, 2^331621248 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 331621248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508498560).

331621248 is an abundant number, since it is smaller than the sum of its proper divisors (685375872).

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

331621248 is a wasteful number, since it uses less digits than its factorization.

331621248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1272 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 331621248 is about 18210.4708341108. The cubic root of 331621248 is about 692.1721424571.

The spelling of 331621248 in words is "three hundred thirty-one million, six hundred twenty-one thousand, two hundred forty-eight".