332309376 has 288 divisors, whose sum is σ = 1154946000. Its totient is φ = 91671552.

The previous prime is 332309371. The next prime is 332309389. The reversal of 332309376 is 673903233.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×332309376² = 220859042755018752, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 332309376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332309371) 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 35 ways as a sum of consecutive naturals, for example, 11458930 + ... + 11458958.

Almost surely, 2^332309376 is an apocalyptic number.

332309376 is a gapful number since it is divisible by the number (36) 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 332309376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577473000).

332309376 is an abundant number, since it is smaller than the sum of its proper divisors (822636624).

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

332309376 is an equidigital number, since it uses as much as digits as its factorization.

332309376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 36.

The square root of 332309376 is about 18229.3547883626. The cubic root of 332309376 is about 692.6505737645.

The spelling of 332309376 in words is "three hundred thirty-two million, three hundred nine thousand, three hundred seventy-six".