4744431360 has 288 divisors, whose sum is σ = 17006734080. Its totient is φ = 1252380672.

The previous prime is 4744431353. The next prime is 4744431361. The reversal of 4744431360 is 631344474.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4744431361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3697279 + ... + 3698561.

It is an arithmetic number, because the mean of its divisors is an integer number (59051160).

Almost surely, 2^4744431360 is an apocalyptic number.

4744431360 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 4744431360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8503367040).

4744431360 is an abundant number, since it is smaller than the sum of its proper divisors (12262302720).

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

4744431360 is a wasteful number, since it uses less digits than its factorization.

4744431360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 4744431360 is about 68879.8327524102. The cubic root of 4744431360 is about 1680.3305472041.

The spelling of 4744431360 in words is "four billion, seven hundred forty-four million, four hundred thirty-one thousand, three hundred sixty".