332145990 has 192 divisors, whose sum is σ = 1018967040. Its totient is φ = 74215680.

The previous prime is 332145977. The next prime is 332146033. The reversal of 332145990 is 99541233.

It is a happy number.

It is a super-2 number, since 2×332145990² = 220641917346160200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 660079 + ... + 660581.

It is an arithmetic number, because the mean of its divisors is an integer number (5307120).

Almost surely, 2^332145990 is an apocalyptic number.

332145990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 332145990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509483520).

332145990 is an abundant number, since it is smaller than the sum of its proper divisors (686821050).

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

332145990 is a wasteful number, since it uses less digits than its factorization.

332145990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 332145990 is about 18224.8728390626. The cubic root of 332145990 is about 692.5370370352.

It can be divided in two parts, 33214 and 5990, that added together give a square (39204 = 198²).

The spelling of 332145990 in words is "three hundred thirty-two million, one hundred forty-five thousand, nine hundred ninety".