4309568400 has 120 divisors (see below), whose sum is σ = 13885450560. Its totient is φ = 1142520320.

The previous prime is 4309568399. The next prime is 4309568407. The reversal of 4309568400 is 48659034.

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

It is not an unprimeable number, because it can be changed into a prime (4309568407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197221 + ... + 217979.

It is an arithmetic number, because the mean of its divisors is an integer number (115712088).

Almost surely, 2^4309568400 is an apocalyptic number.

4309568400 is a gapful number since it is divisible by the number (40) 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 4309568400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6942725280).

4309568400 is an abundant number, since it is smaller than the sum of its proper divisors (9575882160).

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

4309568400 is a wasteful number, since it uses less digits than its factorization.

4309568400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20953 (or 20942 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 4309568400 is about 65647.3030672243. The cubic root of 4309568400 is about 1627.3386004678.

The spelling of 4309568400 in words is "four billion, three hundred nine million, five hundred sixty-eight thousand, four hundred".