243023024400 has 480 divisors, whose sum is σ = 871002918912. Its totient is φ = 57517516800.

The previous prime is 243023024389. The next prime is 243023024401. The reversal of 243023024400 is 4420320342.

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 (243023024401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78825259 + ... + 78828341.

Almost surely, 2^243023024400 is an apocalyptic number.

243023024400 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 243023024400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435501459456).

243023024400 is an abundant number, since it is smaller than the sum of its proper divisors (627979894512).

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

243023024400 is a wasteful number, since it uses less digits than its factorization.

243023024400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3311 (or 3300 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 243023024400 its reverse (4420320342), we get a palindrome (247443344742).

The spelling of 243023024400 in words is "two hundred forty-three billion, twenty-three million, twenty-four thousand, four hundred".