293489920 has 72 divisors (see below), whose sum is σ = 722116584. Its totient is φ = 114204672.

The previous prime is 293489899. The next prime is 293489929. The reversal of 293489920 is 29984392.

It can be written as a sum of positive squares in 4 ways, for example, as 66324736 + 227165184 = 8144^2 + 15072^2 .

It is a super-2 number, since 2×293489920² = 172272666283212800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (293489929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44262 + ... + 50458.

It is an arithmetic number, because the mean of its divisors is an integer number (10029397).

Almost surely, 2^293489920 is an apocalyptic number.

293489920 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 293489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361058292).

293489920 is an abundant number, since it is smaller than the sum of its proper divisors (428626664).

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

293489920 is an equidigital number, since it uses as much as digits as its factorization.

293489920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6255 (or 6241 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 46.

The square root of 293489920 is about 17131.5475074495. The cubic root of 293489920 is about 664.5552040933. Note that the first 3 decimals are identical.

The spelling of 293489920 in words is "two hundred ninety-three million, four hundred eighty-nine thousand, nine hundred twenty".