242500440 has 256 divisors, whose sum is σ = 914457600. Its totient is φ = 50079744.

The previous prime is 242500397. The next prime is 242500441. The reversal of 242500440 is 44005242.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242500441) by changing a digit.

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, 578551 + ... + 578969.

It is an arithmetic number, because the mean of its divisors is an integer number (3572100).

Almost surely, 2^242500440 is an apocalyptic number.

242500440 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 242500440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457228800).

242500440 is an abundant number, since it is smaller than the sum of its proper divisors (671957160).

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

242500440 is a wasteful number, since it uses less digits than its factorization.

242500440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 242500440 is about 15572.4256299396. The cubic root of 242500440 is about 623.5972293976.

Adding to 242500440 its reverse (44005242), we get a palindrome (286505682).

The spelling of 242500440 in words is "two hundred forty-two million, five hundred thousand, four hundred forty".