4193280 has 264 divisors, whose sum is σ = 17882592. Its totient is φ = 884736.

The previous prime is 4193279. The next prime is 4193297. The reversal of 4193280 is 823914.

It is a nialpdrome in base 2 and base 4.

It is a zygodrome in base 2 and base 4.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 260 × 252 × 64.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322554 + ... + 322566.

Almost surely, 2^4193280 is an apocalyptic number.

4193280 is a gapful number since it is divisible by the number (40) 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 4193280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8941296).

4193280 is an abundant number, since it is smaller than the sum of its proper divisors (13689312).

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

4193280 is a wasteful number, since it uses less digits than its factorization.

4193280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4193280 is about 2047.7499847393. The cubic root of 4193280 is about 161.2567691407.

The spelling of 4193280 in words is "four million, one hundred ninety-three thousand, two hundred eighty".