242280600 has 96 divisors (see below), whose sum is σ = 795283920. Its totient is φ = 60805120.

The previous prime is 242280589. The next prime is 242280607. The reversal of 242280600 is 6082242.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242280607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1677 + ... + 22076.

Almost surely, 2^242280600 is an apocalyptic number.

242280600 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 242280600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397641960).

242280600 is an abundant number, since it is smaller than the sum of its proper divisors (553003320).

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

242280600 is a wasteful number, since it uses less digits than its factorization.

242280600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23789 (or 23780 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 242280600 is about 15565.3653988591. The cubic root of 242280600 is about 623.4087306842.

The spelling of 242280600 in words is "two hundred forty-two million, two hundred eighty thousand, six hundred".