1875382400 has 48 divisors (see below), whose sum is σ = 4632788490. Its totient is φ = 750151680.

The previous prime is 1875382361. The next prime is 1875382409. The reversal of 1875382400 is 42835781.

It can be written as a sum of positive squares in 3 ways, for example, as 1165266496 + 710115904 = 34136^2 + 26648^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1875382409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 289829 + ... + 296228.

Almost surely, 2^1875382400 is an apocalyptic number.

1875382400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1875382400 is an abundant number, since it is smaller than the sum of its proper divisors (2757406090).

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

1875382400 is an equidigital number, since it uses as much as digits as its factorization.

1875382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586081 (or 586064 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 1875382400 is about 43305.6855389682. The cubic root of 1875382400 is about 1233.1898607556.

The spelling of 1875382400 in words is "one billion, eight hundred seventy-five million, three hundred eighty-two thousand, four hundred".