2303200400 has 120 divisors (see below), whose sum is σ = 5693117760. Its totient is φ = 894942720.

The previous prime is 2303200351. The next prime is 2303200421. The reversal of 2303200400 is 40023032.

It is a super-3 number, since 3×2303200400³ (a number of 29 digits) contains 333 as substring.

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, 6174614 + ... + 6174986.

It is an arithmetic number, because the mean of its divisors is an integer number (47442648).

Almost surely, 2^2303200400 is an apocalyptic number.

2303200400 is a gapful number since it is divisible by the number (20) 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 2303200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2846558880).

2303200400 is an abundant number, since it is smaller than the sum of its proper divisors (3389917360).

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

2303200400 is a wasteful number, since it uses less digits than its factorization.

2303200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 2303200400 is about 47991.6701105515. The cubic root of 2303200400 is about 1320.6180913104.

Adding to 2303200400 its reverse (40023032), we get a palindrome (2343223432).

The spelling of 2303200400 in words is "two billion, three hundred three million, two hundred thousand, four hundred".