242484800 has 42 divisors (see below), whose sum is σ = 596668098. Its totient is φ = 96993280.

The previous prime is 242484761. The next prime is 242484811. The reversal of 242484800 is 8484242.

It can be written as a sum of positive squares in 3 ways, for example, as 22733824 + 219750976 = 4768^2 + 14824^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 74177 + ... + 77376.

Almost surely, 2^242484800 is an apocalyptic number.

242484800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242484800 is an abundant number, since it is smaller than the sum of its proper divisors (354183298).

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

242484800 is a wasteful number, since it uses less digits than its factorization.

242484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151575 (or 151560 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 242484800 is about 15571.9234521622. The cubic root of 242484800 is about 623.5838228647.

The spelling of 242484800 in words is "two hundred forty-two million, four hundred eighty-four thousand, eight hundred".