1875482400 has 288 divisors, whose sum is σ = 7012051200. Its totient is φ = 430617600.

The previous prime is 1875482377. The next prime is 1875482431. The reversal of 1875482400 is 42845781.

It is a happy number.

1875482400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 499731 + ... + 503469.

It is an arithmetic number, because the mean of its divisors is an integer number (24347400).

Almost surely, 2^1875482400 is an apocalyptic number.

1875482400 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 1875482400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3506025600).

1875482400 is an abundant number, since it is smaller than the sum of its proper divisors (5136568800).

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

1875482400 is a wasteful number, since it uses less digits than its factorization.

1875482400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3792 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The square root of 1875482400 is about 43306.8401063850. The cubic root of 1875482400 is about 1233.2117792711.

The spelling of 1875482400 in words is "one billion, eight hundred seventy-five million, four hundred eighty-two thousand, four hundred".