242886400 has 54 divisors (see below), whose sum is σ = 601197632. Its totient is φ = 97152000.

The previous prime is 242886383. The next prime is 242886401. The reversal of 242886400 is 4688242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242886401) 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, 12576 + ... + 25375.

Almost surely, 2^242886400 is an apocalyptic number.

242886400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242886400 is an abundant number, since it is smaller than the sum of its proper divisors (358311232).

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

242886400 is an equidigital number, since it uses as much as digits as its factorization.

242886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37977 (or 37958 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 242886400 is about 15584.8131204708. The cubic root of 242886400 is about 623.9278899797.

The spelling of 242886400 in words is "two hundred forty-two million, eight hundred eighty-six thousand, four hundred".