242757000 has 288 divisors, whose sum is σ = 875061720. Its totient is φ = 62985600.

The previous prime is 242756981. The next prime is 242757007. The reversal of 242757000 is 757242.

It can be written as a sum of positive squares in 4 ways, for example, as 124947684 + 117809316 = 11178^2 + 10854^2 .

It is a super-2 number, since 2×242757000² = 117861922098000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (242757007) 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 71 ways as a sum of consecutive naturals, for example, 6560982 + ... + 6561018.

Almost surely, 2^242757000 is an apocalyptic number.

242757000 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 242757000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437530860).

242757000 is an abundant number, since it is smaller than the sum of its proper divisors (632304720).

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

242757000 is an frugal number, since it uses more digits than its factorization.

242757000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 242757000 is about 15580.6610899538. The cubic root of 242757000 is about 623.8170691586.

The spelling of 242757000 in words is "two hundred forty-two million, seven hundred fifty-seven thousand".