4392748800 has 432 divisors, whose sum is σ = 17579708160. Its totient is φ = 1064448000.

The previous prime is 4392748799. The next prime is 4392748819. The reversal of 4392748800 is 88472934.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 1899645 + ... + 1901955.

Almost surely, 2^4392748800 is an apocalyptic number.

4392748800 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 4392748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8789854080).

4392748800 is an abundant number, since it is smaller than the sum of its proper divisors (13186959360).

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

4392748800 is a wasteful number, since it uses less digits than its factorization.

4392748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2357 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4392748800 is about 66277.8152929017. The cubic root of 4392748800 is about 1637.7418852903.

The spelling of 4392748800 in words is "four billion, three hundred ninety-two million, seven hundred forty-eight thousand, eight hundred".