242576880 has 320 divisors, whose sum is σ = 959938560. Its totient is φ = 49287168.

The previous prime is 242576849. The next prime is 242576881. The reversal of 242576880 is 88675242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242576881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 633169 + ... + 633551.

It is an arithmetic number, because the mean of its divisors is an integer number (2999808).

Almost surely, 2^242576880 is an apocalyptic number.

242576880 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 242576880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479969280).

242576880 is an abundant number, since it is smaller than the sum of its proper divisors (717361680).

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

242576880 is a wasteful number, since it uses less digits than its factorization.

242576880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 242576880 is about 15574.8797748169. The cubic root of 242576880 is about 623.6627451062.

The spelling of 242576880 in words is "two hundred forty-two million, five hundred seventy-six thousand, eight hundred eighty".