331890048 has 320 divisors, whose sum is σ = 1199642400. Its totient is φ = 88915968.

The previous prime is 331890029. The next prime is 331890049. The reversal of 331890048 is 840098133.

It is a super-2 number, since 2×331890048² = 220302007922884608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 331889994 and 331890021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331890049) 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, 1233658 + ... + 1233926.

Almost surely, 2^331890048 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 331890048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599821200).

331890048 is an abundant number, since it is smaller than the sum of its proper divisors (867752352).

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

331890048 is a wasteful number, since it uses less digits than its factorization.

331890048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 331890048 is about 18217.8497084590. The cubic root of 331890048 is about 692.3591083865.

The spelling of 331890048 in words is "three hundred thirty-one million, eight hundred ninety thousand, forty-eight".