293125420 has 48 divisors (see below), whose sum is σ = 706906368. Its totient is φ = 100013760.

The previous prime is 293125379. The next prime is 293125421. The reversal of 293125420 is 24521392.

293125420 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

293125420 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (293125421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24579 + ... + 34501.

It is an arithmetic number, because the mean of its divisors is an integer number (14727216).

Almost surely, 2^293125420 is an apocalyptic number.

293125420 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 293125420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353453184).

293125420 is an abundant number, since it is smaller than the sum of its proper divisors (413780948).

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

293125420 is a wasteful number, since it uses less digits than its factorization.

293125420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10150 (or 10148 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 293125420 is about 17120.9059339744. The cubic root of 293125420 is about 664.2799751967.

The spelling of 293125420 in words is "two hundred ninety-three million, one hundred twenty-five thousand, four hundred twenty".