242174880 has 192 divisors, whose sum is σ = 862444800. Its totient is φ = 63452160.

The previous prime is 242174851. The next prime is 242174887. The reversal of 242174880 is 88471242.

242174880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (242174887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263061 + ... + 263979.

It is an arithmetic number, because the mean of its divisors is an integer number (4491900).

Almost surely, 2^242174880 is an apocalyptic number.

242174880 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 242174880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431222400).

242174880 is an abundant number, since it is smaller than the sum of its proper divisors (620269920).

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

242174880 is a wasteful number, since it uses less digits than its factorization.

242174880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 242174880 is about 15561.9690270865. The cubic root of 242174880 is about 623.3180419544.

The spelling of 242174880 in words is "two hundred forty-two million, one hundred seventy-four thousand, eight hundred eighty".