293255040 has 256 divisors, whose sum is σ = 1041868800. Its totient is φ = 69672960.

The previous prime is 293255033. The next prime is 293255051. The reversal of 293255040 is 40552392.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 293254989 and 293255007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 773571 + ... + 773949.

It is an arithmetic number, because the mean of its divisors is an integer number (4069800).

Almost surely, 2^293255040 is an apocalyptic number.

293255040 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 293255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520934400).

293255040 is an abundant number, since it is smaller than the sum of its proper divisors (748613760).

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

293255040 is a wasteful number, since it uses less digits than its factorization.

293255040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 293255040 is about 17124.6909461164. The cubic root of 293255040 is about 664.3778755900.

The spelling of 293255040 in words is "two hundred ninety-three million, two hundred fifty-five thousand, forty".