4328294400 has 576 divisors, whose sum is σ = 16573939200. Its totient is φ = 1105920000.

The previous prime is 4328294389. The next prime is 4328294417. The reversal of 4328294400 is 44928234.

4328294400 is a `hidden beast` number, since 4 + 328 + 294 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 42854350 + ... + 42854450.

It is an arithmetic number, because the mean of its divisors is an integer number (28774200).

Almost surely, 2^4328294400 is an apocalyptic number.

4328294400 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 4328294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8286969600).

4328294400 is an abundant number, since it is smaller than the sum of its proper divisors (12245644800).

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

4328294400 is a wasteful number, since it uses less digits than its factorization.

4328294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4328294400 is about 65789.7742814185. The cubic root of 4328294400 is about 1629.6922399371.

The spelling of 4328294400 in words is "four billion, three hundred twenty-eight million, two hundred ninety-four thousand, four hundred".