292480 has 32 divisors (see below), whose sum is σ = 700740. Its totient is φ = 116736.

The previous prime is 292477. The next prime is 292483. The reversal of 292480 is 84292.

It is an interprime number because it is at equal distance from previous prime (292477) and next prime (292483).

It can be written as a sum of positive squares in 2 ways, for example, as 287296 + 5184 = 536^2 + 72^2 .

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

It is not an unprimeable number, because it can be changed into a prime (292483) 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, 412 + ... + 868.

2²⁹²⁴⁸⁰ is an apocalyptic number.

292480 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 292480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350370).

292480 is an abundant number, since it is smaller than the sum of its proper divisors (408260).

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

292480 is an equidigital number, since it uses as much as digits as its factorization.

292480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 292480 is about 540.8142009970. The cubic root of 292480 is about 66.3792067277.

The spelling of 292480 in words is "two hundred ninety-two thousand, four hundred eighty".