332875200 has 168 divisors, whose sum is σ = 1248249472. Its totient is φ = 76078080.

The previous prime is 332875183. The next prime is 332875201. The reversal of 332875200 is 2578233.

332875200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×332875200² = 221611797550080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332875201) 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, 28647 + ... + 38553.

Almost surely, 2^332875200 is an apocalyptic number.

332875200 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 332875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624124736).

332875200 is an abundant number, since it is smaller than the sum of its proper divisors (915374272).

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

332875200 is a wasteful number, since it uses less digits than its factorization.

332875200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9939 (or 9924 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 332875200 is about 18244.8677715132. The cubic root of 332875200 is about 693.0434768007.

The spelling of 332875200 in words is "three hundred thirty-two million, eight hundred seventy-five thousand, two hundred".