332881920 has 448 divisors, whose sum is σ = 1384035840. Its totient is φ = 74317824.

The previous prime is 332881909. The next prime is 332881949. The reversal of 332881920 is 29188233.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×332881920² = 221620745325772800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7741419 + ... + 7741461.

Almost surely, 2^332881920 is an apocalyptic number.

332881920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692017920).

332881920 is an abundant number, since it is smaller than the sum of its proper divisors (1051153920).

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

332881920 is an equidigital number, since it uses as much as digits as its factorization.

332881920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 60 counting only the distinct ones).

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

The square root of 332881920 is about 18245.0519319623. The cubic root of 332881920 is about 693.0481404312.

The spelling of 332881920 in words is "three hundred thirty-two million, eight hundred eighty-one thousand, nine hundred twenty".