242255400 has 96 divisors (see below), whose sum is σ = 763418400. Its totient is φ = 63532800.

The previous prime is 242255393. The next prime is 242255401. The reversal of 242255400 is 4552242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (242255401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33291 + ... + 39909.

It is an arithmetic number, because the mean of its divisors is an integer number (7952275).

Almost surely, 2^242255400 is an apocalyptic number.

242255400 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 242255400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381709200).

242255400 is an abundant number, since it is smaller than the sum of its proper divisors (521163000).

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

242255400 is a wasteful number, since it uses less digits than its factorization.

242255400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6699 (or 6690 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 242255400 is about 15564.5558882995. Note that the first 3 decimals coincide. The cubic root of 242255400 is about 623.3871160154.

The spelling of 242255400 in words is "two hundred forty-two million, two hundred fifty-five thousand, four hundred".