4753438320 has 160 divisors (see below), whose sum is σ = 15583002624. Its totient is φ = 1196697600.

The previous prime is 4753438301. The next prime is 4753438331. The reversal of 4753438320 is 238343574.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297249 + ... + 312831.

Almost surely, 2^4753438320 is an apocalyptic number.

4753438320 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 4753438320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7791501312).

4753438320 is an abundant number, since it is smaller than the sum of its proper divisors (10829564304).

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

4753438320 is a wasteful number, since it uses less digits than its factorization.

4753438320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15671 (or 15665 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The square root of 4753438320 is about 68945.1834430803. The cubic root of 4753438320 is about 1681.3932037240.

The spelling of 4753438320 in words is "four billion, seven hundred fifty-three million, four hundred thirty-eight thousand, three hundred twenty".