242493440 has 192 divisors, whose sum is σ = 707616000. Its totient is φ = 77856768.

The previous prime is 242493437. The next prime is 242493443. The reversal of 242493440 is 44394242.

It is an interprime number because it is at equal distance from previous prime (242493437) and next prime (242493443).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 242493397 and 242493406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242493443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1218461 + ... + 1218659.

It is an arithmetic number, because the mean of its divisors is an integer number (3685500).

Almost surely, 2^242493440 is an apocalyptic number.

242493440 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 242493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353808000).

242493440 is an abundant number, since it is smaller than the sum of its proper divisors (465122560).

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

242493440 is a wasteful number, since it uses less digits than its factorization.

242493440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 242493440 is about 15572.2008720669. The cubic root of 242493440 is about 623.5912291025.

The spelling of 242493440 in words is "two hundred forty-two million, four hundred ninety-three thousand, four hundred forty".