375126400 has 96 divisors (see below), whose sum is σ = 1011017880. Its totient is φ = 136396800.

The previous prime is 375126379. The next prime is 375126449. The reversal of 375126400 is 4621573.

375126400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29872 + ... + 40528.

Almost surely, 2^375126400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 375126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505508940).

375126400 is an abundant number, since it is smaller than the sum of its proper divisors (635891480).

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

375126400 is a wasteful number, since it uses less digits than its factorization.

375126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10692 (or 10675 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 375126400 is about 19368.1800900343. The cubic root of 375126400 is about 721.2057984280.

Adding to 375126400 its reverse (4621573), we get a palindrome (379747973).

The spelling of 375126400 in words is "three hundred seventy-five million, one hundred twenty-six thousand, four hundred".