242496000 has 240 divisors, whose sum is σ = 875499768. Its totient is φ = 64512000.

The previous prime is 242495977. The next prime is 242496011. The reversal of 242496000 is 694242.

It can be written as a sum of positive squares in 4 ways, for example, as 10969344 + 231526656 = 3312^2 + 15216^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a nialpdrome in base 16.

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, 575790 + ... + 576210.

Almost surely, 2^242496000 is an apocalyptic number.

242496000 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 242496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437749884).

242496000 is an abundant number, since it is smaller than the sum of its proper divisors (633003768).

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

242496000 is an equidigital number, since it uses as much as digits as its factorization.

242496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 242496000 is about 15572.2830696080. The cubic root of 242496000 is about 623.5934235095.

The spelling of 242496000 in words is "two hundred forty-two million, four hundred ninety-six thousand".