332709120 has 180 divisors, whose sum is σ = 1190865060. Its totient is φ = 88694784.

The previous prime is 332709119. The next prime is 332709121. The reversal of 332709120 is 21907233.

It is an interprime number because it is at equal distance from previous prime (332709119) and next prime (332709121).

It can be written as a sum of positive squares in 2 ways, for example, as 153363456 + 179345664 = 12384^2 + 13392^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×332709120² = 221390717062348800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332709121) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 102076 + ... + 105284.

It is an arithmetic number, because the mean of its divisors is an integer number (6615917).

Almost surely, 2^332709120 is an apocalyptic number.

332709120 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 332709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595432530).

332709120 is an abundant number, since it is smaller than the sum of its proper divisors (858155940).

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

332709120 is an equidigital number, since it uses as much as digits as its factorization.

332709120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3242 (or 3219 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 332709120 is about 18240.3157867401. The cubic root of 332709120 is about 692.9281985541.

The spelling of 332709120 in words is "three hundred thirty-two million, seven hundred nine thousand, one hundred twenty".