4523002800 has 120 divisors (see below), whose sum is σ = 14672394240. Its totient is φ = 1190841600.

The previous prime is 4523002733. The next prime is 4523002829. The reversal of 4523002800 is 82003254.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70945 + ... + 118655.

It is an arithmetic number, because the mean of its divisors is an integer number (122269952).

Almost surely, 2^4523002800 is an apocalyptic number.

4523002800 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 4523002800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7336197120).

4523002800 is an abundant number, since it is smaller than the sum of its proper divisors (10149391440).

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

4523002800 is a wasteful number, since it uses less digits than its factorization.

4523002800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47811 (or 47800 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4523002800 is about 67253.2735262753. The cubic root of 4523002800 is about 1653.7719400127.

The spelling of 4523002800 in words is "four billion, five hundred twenty-three million, two thousand, eight hundred".