374912 has 32 divisors (see below), whose sum is σ = 780300. Its totient is φ = 179200.

The previous prime is 374909. The next prime is 374929. The reversal of 374912 is 219473.

374912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 341056 + 33856 = 584^2 + 184^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3662 + ... + 3762.

2³⁷⁴⁹¹² is an apocalyptic number.

374912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 374912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390150).

374912 is an abundant number, since it is smaller than the sum of its proper divisors (405388).

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

374912 is a wasteful number, since it uses less digits than its factorization.

374912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 132 counting only the distinct ones).

The product of its digits is 1512, while the sum is 26.

The square root of 374912 is about 612.3005797809. The cubic root of 374912 is about 72.1068372758.

The spelling of 374912 in words is "three hundred seventy-four thousand, nine hundred twelve".