332416000 has 264 divisors, whose sum is σ = 982903896. Its totient is φ = 111820800.

The previous prime is 332415997. The next prime is 332416003. The reversal of 332416000 is 614233.

It is an interprime number because it is at equal distance from previous prime (332415997) and next prime (332416003).

It can be written as a sum of positive squares in 4 ways, for example, as 3211264 + 329204736 = 1792^2 + 18144^2 .

It is a super-2 number, since 2×332416000² = 221000794112000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332416003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6271974 + ... + 6272026.

Almost surely, 2^332416000 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 332416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491451948).

332416000 is an abundant number, since it is smaller than the sum of its proper divisors (650487896).

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

332416000 is an equidigital number, since it uses as much as digits as its factorization.

332416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 332416000 is about 18232.2790676317. The cubic root of 332416000 is about 692.7246465841.

The spelling of 332416000 in words is "three hundred thirty-two million, four hundred sixteen thousand".