332506314 has 96 divisors (see below), whose sum is σ = 842400000. Its totient is φ = 92835072.

The previous prime is 332506301. The next prime is 332506319. The reversal of 332506314 is 413605233.

It is a happy number.

332506314 is a `hidden beast` number, since 3 + 3 + 25 + 0 + 631 + 4 = 666.

It is a super-2 number, since 2×332506314² = 221120897699733192, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (332506319) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1670787 + ... + 1670985.

It is an arithmetic number, because the mean of its divisors is an integer number (8775000).

Almost surely, 2^332506314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332506314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421200000).

332506314 is an abundant number, since it is smaller than the sum of its proper divisors (509893686).

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

332506314 is a wasteful number, since it uses less digits than its factorization.

332506314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 332506314 is about 18234.7556605511. The cubic root of 332506314 is about 692.7873762850.

The spelling of 332506314 in words is "three hundred thirty-two million, five hundred six thousand, three hundred fourteen".