375390 has 48 divisors (see below), whose sum is σ = 1009008. Its totient is φ = 96768.

The previous prime is 375373. The next prime is 375391. The reversal of 375390 is 93573.

375390 = 272² + 273² + ... + 276².

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 375390.

It is not an unprimeable number, because it can be changed into a prime (375391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3822 + ... + 3918.

It is an arithmetic number, because the mean of its divisors is an integer number (21021).

2³⁷⁵³⁹⁰ is an apocalyptic number.

375390 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 375390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504504).

375390 is an abundant number, since it is smaller than the sum of its proper divisors (633618).

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

375390 is a wasteful number, since it uses less digits than its factorization.

375390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 27.

The square root of 375390 is about 612.6907866126. The cubic root of 375390 is about 72.1374688466.

Adding to 375390 its product of nonzero digits (2835), we get a square (378225 = 615²).

The spelling of 375390 in words is "three hundred seventy-five thousand, three hundred ninety".