243870480 has 240 divisors, whose sum is σ = 967616640. Its totient is φ = 55302912.

The previous prime is 243870479. The next prime is 243870481. The reversal of 243870480 is 84078342.

It is an interprime number because it is at equal distance from previous prime (243870479) and next prime (243870481).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×243870480² = 118945622030860800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (243870481) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1920177 + ... + 1920303.

It is an arithmetic number, because the mean of its divisors is an integer number (4031736).

Almost surely, 2^243870480 is an apocalyptic number.

243870480 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 243870480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483808320).

243870480 is an abundant number, since it is smaller than the sum of its proper divisors (723746160).

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

243870480 is a wasteful number, since it uses less digits than its factorization.

243870480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 243870480 is about 15616.3529673224. The cubic root of 243870480 is about 624.7693911885.

The spelling of 243870480 in words is "two hundred forty-three million, eight hundred seventy thousand, four hundred eighty".