242498880 has 448 divisors, whose sum is σ = 983162880. Its totient is φ = 55738368.

The previous prime is 242498873. The next prime is 242498911. The reversal of 242498880 is 88894242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1909377 + ... + 1909503.

It is an arithmetic number, because the mean of its divisors is an integer number (2194560).

Almost surely, 2^242498880 is an apocalyptic number.

242498880 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 242498880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491581440).

242498880 is an abundant number, since it is smaller than the sum of its proper divisors (740664000).

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

242498880 is a wasteful number, since it uses less digits than its factorization.

242498880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 242498880 is about 15572.3755413232. The cubic root of 242498880 is about 623.5958921989.

The spelling of 242498880 in words is "two hundred forty-two million, four hundred ninety-eight thousand, eight hundred eighty".