332930400 has 144 divisors (see below), whose sum is σ = 1182299328. Its totient is φ = 80704000.

The previous prime is 332930341. The next prime is 332930401. The reversal of 332930400 is 4039233.

It is a super-2 number, since 2×332930400² = 221685302488320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332930401) 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 23 ways as a sum of consecutive naturals, for example, 20095 + ... + 32705.

It is an arithmetic number, because the mean of its divisors is an integer number (8210412).

Almost surely, 2^332930400 is an apocalyptic number.

332930400 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 332930400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591149664).

332930400 is an abundant number, since it is smaller than the sum of its proper divisors (849368928).

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

332930400 is a wasteful number, since it uses less digits than its factorization.

332930400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12645 (or 12632 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 332930400 is about 18246.3804629850. The cubic root of 332930400 is about 693.0817833346.

Adding to 332930400 its reverse (4039233), we get a palindrome (336969633).

The spelling of 332930400 in words is "three hundred thirty-two million, nine hundred thirty thousand, four hundred".