242784000 has 288 divisors, whose sum is σ = 899196480. Its totient is φ = 64512000.

The previous prime is 242783993. The next prime is 242784007. The reversal of 242784000 is 487242.

It is an interprime number because it is at equal distance from previous prime (242783993) and next prime (242784007).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242784007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 863860 + ... + 864140.

It is an arithmetic number, because the mean of its divisors is an integer number (3122210).

Almost surely, 2^242784000 is an apocalyptic number.

242784000 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 242784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449598240).

242784000 is an abundant number, since it is smaller than the sum of its proper divisors (656412480).

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

242784000 is an equidigital number, since it uses as much as digits as its factorization.

242784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 242784000 is about 15581.5275246043. The cubic root of 242784000 is about 623.8401957646.

The spelling of 242784000 in words is "two hundred forty-two million, seven hundred eighty-four thousand".