294480 has 60 divisors (see below), whose sum is σ = 991380. Its totient is φ = 78336.

The previous prime is 294479. The next prime is 294499. The reversal of 294480 is 84492.

It can be written as a sum of positive squares in 2 ways, for example, as 197136 + 97344 = 444^2 + 312^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 516 + ... + 924.

It is an arithmetic number, because the mean of its divisors is an integer number (16523).

2²⁹⁴⁴⁸⁰ is an apocalyptic number.

294480 is a gapful number since it is divisible by the number (20) 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 294480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495690).

294480 is an abundant number, since it is smaller than the sum of its proper divisors (696900).

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

294480 is a wasteful number, since it uses less digits than its factorization.

294480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 294480 is about 542.6601146206. The cubic root of 294480 is about 66.5301651452.

The spelling of 294480 in words is "two hundred ninety-four thousand, four hundred eighty".