242408000 has 112 divisors (see below), whose sum is σ = 607277424. Its totient is φ = 95846400.

The previous prime is 242407993. The next prime is 242408027. The reversal of 242408000 is 804242.

242408000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 136235584 + 106172416 = 11672^2 + 10304^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1255904 + ... + 1256096.

Almost surely, 2^242408000 is an apocalyptic number.

242408000 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 242408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303638712).

242408000 is an abundant number, since it is smaller than the sum of its proper divisors (364869424).

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

242408000 is a wasteful number, since it uses less digits than its factorization.

242408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 242408000 is about 15569.4572802009. The cubic root of 242408000 is about 623.5179819068.

The spelling of 242408000 in words is "two hundred forty-two million, four hundred eight thousand".