332401200 has 240 divisors, whose sum is σ = 1143974400. Its totient is φ = 82252800.

The previous prime is 332401151. The next prime is 332401301. The reversal of 332401200 is 2104233.

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

It is a super-2 number, since 2×332401200² = 220981115522880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 332401200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1390681 + ... + 1390919.

It is an arithmetic number, because the mean of its divisors is an integer number (4766560).

Almost surely, 2^332401200 is an apocalyptic number.

332401200 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 332401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571987200).

332401200 is an abundant number, since it is smaller than the sum of its proper divisors (811573200).

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

332401200 is a wasteful number, since it uses less digits than its factorization.

332401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 332401200 is about 18231.8731895546. The cubic root of 332401200 is about 692.7143658145.

Adding to 332401200 its reverse (2104233), we get a palindrome (334505433).

The spelling of 332401200 in words is "three hundred thirty-two million, four hundred one thousand, two hundred".