242040800 has 36 divisors (see below), whose sum is σ = 590884056. Its totient is φ = 96816000.

The previous prime is 242040787. The next prime is 242040803. The reversal of 242040800 is 8040242.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242040803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 150476 + ... + 152075.

It is an arithmetic number, because the mean of its divisors is an integer number (16413446).

Almost surely, 2^242040800 is an apocalyptic number.

242040800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242040800 is an abundant number, since it is smaller than the sum of its proper divisors (348843256).

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

242040800 is a wasteful number, since it uses less digits than its factorization.

242040800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302571 (or 302558 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 242040800 is about 15557.6604925034. The cubic root of 242040800 is about 623.2029874788.

The spelling of 242040800 in words is "two hundred forty-two million, forty thousand, eight hundred".