332336400 has 240 divisors, whose sum is σ = 1230510528. Its totient is φ = 75776000.

The previous prime is 332336393. The next prime is 332336419. The reversal of 332336400 is 4633233.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×332336400² = 220894965529920000, 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 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 47 ways as a sum of consecutive naturals, for example, 223660 + ... + 225140.

Almost surely, 2^332336400 is an apocalyptic number.

332336400 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 332336400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615255264).

332336400 is an abundant number, since it is smaller than the sum of its proper divisors (898174128).

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

332336400 is a wasteful number, since it uses less digits than its factorization.

332336400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

The square root of 332336400 is about 18230.0959953589. The cubic root of 332336400 is about 692.6693491217.

Adding to 332336400 its reverse (4633233), we get a palindrome (336969633).

The spelling of 332336400 in words is "three hundred thirty-two million, three hundred thirty-six thousand, four hundred".