243900720 has 400 divisors, whose sum is σ = 1022672640. Its totient is φ = 52627968.

The previous prime is 243900667. The next prime is 243900733. The reversal of 243900720 is 27009342.

It is a super-2 number, since 2×243900720² = 118975122433036800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 861699 + ... + 861981.

Almost surely, 2^243900720 is an apocalyptic number.

243900720 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 243900720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511336320).

243900720 is an abundant number, since it is smaller than the sum of its proper divisors (778771920).

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

243900720 is a wasteful number, since it uses less digits than its factorization.

243900720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 243900720 is about 15617.3211531299. The cubic root of 243900720 is about 624.7952139743.

The spelling of 243900720 in words is "two hundred forty-three million, nine hundred thousand, seven hundred twenty".