243152400 has 60 divisors (see below), whose sum is σ = 778902032. Its totient is φ = 64840320.

The previous prime is 243152353. The next prime is 243152461. The reversal of 243152400 is 4251342.

243152400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100114 + ... + 102513.

Almost surely, 2^243152400 is an apocalyptic number.

243152400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243152400 is an abundant number, since it is smaller than the sum of its proper divisors (535749632).

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

243152400 is a wasteful number, since it uses less digits than its factorization.

243152400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202648 (or 202637 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 243152400 is about 15593.3447342127. The cubic root of 243152400 is about 624.1555742928.

The spelling of 243152400 in words is "two hundred forty-three million, one hundred fifty-two thousand, four hundred".