293472480 has 192 divisors, whose sum is σ = 1112348160. Its totient is φ = 63535104.

The previous prime is 293472451. The next prime is 293472481. The reversal of 293472480 is 84274392.

293472480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×293472480² = 172252193034700800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (293472481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61542 + ... + 66138.

It is an arithmetic number, because the mean of its divisors is an integer number (5793480).

Almost surely, 2^293472480 is an apocalyptic number.

293472480 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 293472480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556174080).

293472480 is an abundant number, since it is smaller than the sum of its proper divisors (818875680).

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

293472480 is a wasteful number, since it uses less digits than its factorization.

293472480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4641 (or 4633 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 293472480 is about 17131.0384974175. The cubic root of 293472480 is about 664.5420405834.

The spelling of 293472480 in words is "two hundred ninety-three million, four hundred seventy-two thousand, four hundred eighty".