242054600 has 48 divisors (see below), whose sum is σ = 566890800. Its totient is φ = 96114240.

The previous prime is 242054591. The next prime is 242054621. The reversal of 242054600 is 6450242.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23447 + ... + 32153.

It is an arithmetic number, because the mean of its divisors is an integer number (11810225).

Almost surely, 2^242054600 is an apocalyptic number.

242054600 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 242054600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283445400).

242054600 is an abundant number, since it is smaller than the sum of its proper divisors (324836200).

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

242054600 is a wasteful number, since it uses less digits than its factorization.

242054600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8862 (or 8853 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 242054600 is about 15558.1039975956. The cubic root of 242054600 is about 623.2148312641.

The spelling of 242054600 in words is "two hundred forty-two million, fifty-four thousand, six hundred".