294144 has 36 divisors (see below), whose sum is σ = 784896. Its totient is φ = 97792.

The previous prime is 294131. The next prime is 294149. The reversal of 294144 is 441492.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (294149) by changing a digit.

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, 577 + ... + 959.

2²⁹⁴¹⁴⁴ is an apocalyptic number.

294144 is a gapful number since it is divisible by the number (24) 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 294144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392448).

294144 is an abundant number, since it is smaller than the sum of its proper divisors (490752).

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

294144 is an equidigital number, since it uses as much as digits as its factorization.

294144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 388 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 294144 is about 542.3504402137. The cubic root of 294144 is about 66.5048520024.

Adding to 294144 its product of digits (1152), we get a triangular number (295296 = T₇₆₈).

The spelling of 294144 in words is "two hundred ninety-four thousand, one hundred forty-four".