242609400 has 144 divisors (see below), whose sum is σ = 888905160. Its totient is φ = 58809600.

The previous prime is 242609377. The next prime is 242609401. The reversal of 242609400 is 4906242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242609401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13674 + ... + 25926.

Almost surely, 2^242609400 is an apocalyptic number.

242609400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242609400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444452580).

242609400 is an abundant number, since it is smaller than the sum of its proper divisors (646295760).

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

242609400 is a wasteful number, since it uses less digits than its factorization.

242609400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12286 (or 12274 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 242609400 is about 15575.9237286268. The cubic root of 242609400 is about 623.6906133931.

The spelling of 242609400 in words is "two hundred forty-two million, six hundred nine thousand, four hundred".