242262400 has 48 divisors (see below), whose sum is σ = 598471740. Its totient is φ = 96903680.

The previous prime is 242262389. The next prime is 242262403. The reversal of 242262400 is 4262242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242262403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34654 + ... + 41053.

Almost surely, 2^242262400 is an apocalyptic number.

242262400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242262400 is an abundant number, since it is smaller than the sum of its proper divisors (356209340).

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

242262400 is an equidigital number, since it uses as much as digits as its factorization.

242262400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75731 (or 75714 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 242262400 is about 15564.7807565671. The cubic root of 242262400 is about 623.3931202404.

The spelling of 242262400 in words is "two hundred forty-two million, two hundred sixty-two thousand, four hundred".