375240 has 64 divisors (see below), whose sum is σ = 1166400. Its totient is φ = 96512.

The previous prime is 375233. The next prime is 375247. The reversal of 375240 is 42573.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (375233) and next prime (375247).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 375240.

It is not an unprimeable number, because it can be changed into a prime (375247) by changing a digit.

375240 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6331 + ... + 6389.

It is an arithmetic number, because the mean of its divisors is an integer number (18225).

2³⁷⁵²⁴⁰ is an apocalyptic number.

375240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

375240 is the 354-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 375240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583200).

375240 is an abundant number, since it is smaller than the sum of its proper divisors (791160).

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

375240 is a wasteful number, since it uses less digits than its factorization.

375240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 375240 is about 612.5683635318. The cubic root of 375240 is about 72.1278592300.

It can be divided in two parts, 375 and 240, that multiplied together give a square (90000 = 300²).

The spelling of 375240 in words is "three hundred seventy-five thousand, two hundred forty".