243292896 has 480 divisors, whose sum is σ = 948423168. Its totient is φ = 59304960.

The previous prime is 243292883. The next prime is 243292897. The reversal of 243292896 is 698292342.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243292897) 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 79 ways as a sum of consecutive naturals, for example, 4590406 + ... + 4590458.

Almost surely, 2^243292896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243292896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474211584).

243292896 is an abundant number, since it is smaller than the sum of its proper divisors (705130272).

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

243292896 is a wasteful number, since it uses less digits than its factorization.

243292896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 99 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 243292896 is about 15597.8490824857. The cubic root of 243292896 is about 624.2757656863.

It can be divided in two parts, 24329 and 2896, that added together give a square (27225 = 165²).

The spelling of 243292896 in words is "two hundred forty-three million, two hundred ninety-two thousand, eight hundred ninety-six".