332817408 has 396 divisors, whose sum is σ = 1237730832. Its totient is φ = 85155840.

The previous prime is 332817389. The next prime is 332817437. The reversal of 332817408 is 804718233.

It is a tau number, because it is divible by the number of its divisors (396).

It is a super-2 number, since 2×332817408² = 221534854135676928, which contains 22 as substring.

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

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 35 ways as a sum of consecutive naturals, for example, 4967391 + ... + 4967457.

Almost surely, 2^332817408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332817408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618865416).

332817408 is an abundant number, since it is smaller than the sum of its proper divisors (904913424).

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

332817408 is a wasteful number, since it uses less digits than its factorization.

332817408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 332817408 is about 18243.2839149096. The cubic root of 332817408 is about 693.0033669870.

It can be divided in two parts, 3328 and 17408, that added together give a 4-th power (20736 = 12⁴).

The spelling of 332817408 in words is "three hundred thirty-two million, eight hundred seventeen thousand, four hundred eight".