332441400 has 96 divisors (see below), whose sum is σ = 1048147200. Its totient is φ = 87139200.

The previous prime is 332441393. The next prime is 332441419. The reversal of 332441400 is 4144233.

It is a super-2 number, since 2×332441400² = 221034568867920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30705 + ... + 40095.

It is an arithmetic number, because the mean of its divisors is an integer number (10918200).

Almost surely, 2^332441400 is an apocalyptic number.

332441400 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 332441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524073600).

332441400 is an abundant number, since it is smaller than the sum of its proper divisors (715705800).

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

332441400 is a wasteful number, since it uses less digits than its factorization.

332441400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9469 (or 9460 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 332441400 is about 18232.9756211102. The cubic root of 332441400 is about 692.7422898964.

Adding to 332441400 its reverse (4144233), we get a palindrome (336585633).

The spelling of 332441400 in words is "three hundred thirty-two million, four hundred forty-one thousand, four hundred".