242253440 has 128 divisors (see below), whose sum is σ = 680641920. Its totient is φ = 81285120.

The previous prime is 242253433. The next prime is 242253497. The reversal of 242253440 is 44352242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 90197 + ... + 92843.

It is an arithmetic number, because the mean of its divisors is an integer number (5317515).

Almost surely, 2^242253440 is an apocalyptic number.

242253440 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 242253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340320960).

242253440 is an abundant number, since it is smaller than the sum of its proper divisors (438388480).

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

242253440 is a wasteful number, since it uses less digits than its factorization.

242253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690 (or 2678 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 242253440 is about 15564.4929246025. The cubic root of 242253440 is about 623.3854348117.

The spelling of 242253440 in words is "two hundred forty-two million, two hundred fifty-three thousand, four hundred forty".