243794880 has 448 divisors, whose sum is σ = 1024128000. Its totient is φ = 53415936.

The previous prime is 243794879. The next prime is 243794891. The reversal of 243794880 is 88497342.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1753851 + ... + 1753989.

It is an arithmetic number, because the mean of its divisors is an integer number (2286000).

Almost surely, 2^243794880 is an apocalyptic number.

243794880 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 243794880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512064000).

243794880 is an abundant number, since it is smaller than the sum of its proper divisors (780333120).

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

243794880 is a wasteful number, since it uses less digits than its factorization.

243794880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 243794880 is about 15613.9322401501. The cubic root of 243794880 is about 624.7048248833.

The spelling of 243794880 in words is "two hundred forty-three million, seven hundred ninety-four thousand, eight hundred eighty".