4501875000 has 320 divisors, whose sum is σ = 16412067360. Its totient is φ = 1029000000.

The previous prime is 4501874977. The next prime is 4501875013. The reversal of 4501875000 is 5781054.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 643124997 + ... + 643125003.

Almost surely, 2^4501875000 is an apocalyptic number.

4501875000 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 4501875000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8206033680).

4501875000 is an abundant number, since it is smaller than the sum of its proper divisors (11910192360).

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

4501875000 is an frugal number, since it uses more digits than its factorization.

4501875000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 4501875000 is about 67096.0132943828. The cubic root of 4501875000 is about 1651.1928931108.

Multiplying 4501875000 by its sum of digits (30), we get a square (135056250000 = 367500²).

4501875000 divided by its sum of digits (30) gives a square (150062500 = 12250²).

The spelling of 4501875000 in words is "four billion, five hundred one million, eight hundred seventy-five thousand".