332949008 has 80 divisors (see below), whose sum is σ = 784533120. Its totient is φ = 133705728.

The previous prime is 332948999. The next prime is 332949017. The reversal of 332949008 is 800949233.

It is an interprime number because it is at equal distance from previous prime (332948999) and next prime (332949017).

It is a super-2 number, since 2×332949008² = 221710083856368128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205610 + ... + 207222.

It is an arithmetic number, because the mean of its divisors is an integer number (9806664).

Almost surely, 2^332949008 is an apocalyptic number.

332949008 is a gapful number since it is divisible by the number (38) 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 332949008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392266560).

332949008 is an abundant number, since it is smaller than the sum of its proper divisors (451584112).

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

332949008 is a wasteful number, since it uses less digits than its factorization.

332949008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 332949008 is about 18246.8903652102. The cubic root of 332949008 is about 693.0946955685.

The spelling of 332949008 in words is "three hundred thirty-two million, nine hundred forty-nine thousand, eight".