4531800960 has 640 divisors, whose sum is σ = 17594755200. Its totient is φ = 1107800064.

The previous prime is 4531800919. The next prime is 4531800961. The reversal of 4531800960 is 690081354.

It is a tau number, because it is divible by the number of its divisors (640).

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 (4531800961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42353227 + ... + 42353333.

It is an arithmetic number, because the mean of its divisors is an integer number (27491805).

Almost surely, 2^4531800960 is an apocalyptic number.

4531800960 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 4531800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8797377600).

4531800960 is an abundant number, since it is smaller than the sum of its proper divisors (13062954240).

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

4531800960 is a wasteful number, since it uses less digits than its factorization.

4531800960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 4531800960 is about 67318.6523929290. The cubic root of 4531800960 is about 1654.8435530261.

The spelling of 4531800960 in words is "four billion, five hundred thirty-one million, eight hundred thousand, nine hundred sixty".