332315648 has 132 divisors (see below), whose sum is σ = 798084360. Its totient is φ = 137797632.

The previous prime is 332315597. The next prime is 332315657. The reversal of 332315648 is 846513233.

It is a super-3 number, since 3×332315648³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1856423 + ... + 1856601.

Almost surely, 2^332315648 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 332315648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399042180).

332315648 is an abundant number, since it is smaller than the sum of its proper divisors (465768712).

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

332315648 is a wasteful number, since it uses less digits than its factorization.

332315648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 225 counting only the distinct ones).

The product of its digits is 51840, while the sum is 35.

The square root of 332315648 is about 18229.5268177756. The cubic root of 332315648 is about 692.6549314277.

The spelling of 332315648 in words is "three hundred thirty-two million, three hundred fifteen thousand, six hundred forty-eight".