243290400 has 288 divisors, whose sum is σ = 860569920. Its totient is φ = 59473920.

The previous prime is 243290381. The next prime is 243290401. The reversal of 243290400 is 4092342.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (243290401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2733556 + ... + 2733644.

It is an arithmetic number, because the mean of its divisors is an integer number (2988090).

Almost surely, 2^243290400 is an apocalyptic number.

243290400 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 243290400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430284960).

243290400 is an abundant number, since it is smaller than the sum of its proper divisors (617279520).

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

243290400 is a wasteful number, since it uses less digits than its factorization.

243290400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 243290400 is about 15597.7690712486. The cubic root of 243290400 is about 624.2736308142.

The spelling of 243290400 in words is "two hundred forty-three million, two hundred ninety thousand, four hundred".