242817792 has 216 divisors, whose sum is σ = 779401728. Its totient is φ = 65710080.

The previous prime is 242817769. The next prime is 242817811. The reversal of 242817792 is 297718242.

It is a super-2 number, since 2×242817792² = 117920960223510528, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5166313 + ... + 5166359.

Almost surely, 2^242817792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242817792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389700864).

242817792 is an abundant number, since it is smaller than the sum of its proper divisors (536583936).

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

242817792 is an equidigital number, since it uses as much as digits as its factorization.

242817792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 90 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 242817792 is about 15582.6118478258. The cubic root of 242817792 is about 623.8691375811.

The spelling of 242817792 in words is "two hundred forty-two million, eight hundred seventeen thousand, seven hundred ninety-two".