332240400 has 120 divisors (see below), whose sum is σ = 1182568160. Its totient is φ = 88594560.

The previous prime is 332240369. The next prime is 332240437. The reversal of 332240400 is 4042233.

332240400 = T₅₁₄₃ + T₅₁₄₄ + ... + T₅₁₆₇.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×332240400² = 220767366784320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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, 4582 + ... + 26181.

Almost surely, 2^332240400 is an apocalyptic number.

332240400 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 332240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591284080).

332240400 is an abundant number, since it is smaller than the sum of its proper divisors (850327760).

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

332240400 is a wasteful number, since it uses less digits than its factorization.

332240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30790 (or 30773 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 332240400 is about 18227.4627965606. The cubic root of 332240400 is about 692.6026469676.

Adding to 332240400 its reverse (4042233), we get a palindrome (336282633).

The spelling of 332240400 in words is "three hundred thirty-two million, two hundred forty thousand, four hundred".