1875484800 has 576 divisors, whose sum is σ = 8002389600. Its totient is φ = 427714560.

The previous prime is 1875484783. The next prime is 1875484867. The reversal of 1875484800 is 84845781.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 4233379 + ... + 4233821.

Almost surely, 2^1875484800 is an apocalyptic number.

1875484800 is a gapful number since it is divisible by the number (10) 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 1875484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4001194800).

1875484800 is an abundant number, since it is smaller than the sum of its proper divisors (6126904800).

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

1875484800 is a wasteful number, since it uses less digits than its factorization.

1875484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 1875484800 is about 43306.8678156248. The cubic root of 1875484800 is about 1233.2123053059.

The spelling of 1875484800 in words is "one billion, eight hundred seventy-five million, four hundred eighty-four thousand, eight hundred".