374952 has 32 divisors (see below), whose sum is σ = 993600. Its totient is φ = 117504.

The previous prime is 374939. The next prime is 374953. The reversal of 374952 is 259473.

It is a d-powerful number, because it can be written as 3¹¹ + 7³ + 9³ + 4⁸ + 5³ + 2¹⁷ .

Its product of digits (7560) is a multiple of the sum of its prime factors (945).

It is not an unprimeable number, because it can be changed into a prime (374953) by changing a digit.

374952 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 7 ways as a sum of consecutive naturals, for example, 52 + ... + 867.

It is an arithmetic number, because the mean of its divisors is an integer number (31050).

2³⁷⁴⁹⁵² 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 374952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496800).

374952 is an abundant number, since it is smaller than the sum of its proper divisors (618648).

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

374952 is a wasteful number, since it uses less digits than its factorization.

374952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 941 counting only the distinct ones).

The product of its digits is 7560, while the sum is 30.

The square root of 374952 is about 612.3332426057. Note that the first 3 decimals coincide. The cubic root of 374952 is about 72.1094015850.

It can be divided in two parts, 374 and 952, that added together give a triangular number (1326 = T₅₁).

The spelling of 374952 in words is "three hundred seventy-four thousand, nine hundred fifty-two".