242450000 has 120 divisors (see below), whose sum is σ = 634006296. Its totient is φ = 89280000.

The previous prime is 242449997. The next prime is 242450003. The reversal of 242450000 is 54242.

It is an interprime number because it is at equal distance from previous prime (242449997) and next prime (242450003).

It can be written as a sum of positive squares in 12 ways, for example, as 238023184 + 4426816 = 15428^2 + 2104^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242450003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 649814 + ... + 650186.

Almost surely, 2^242450000 is an apocalyptic number.

242450000 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 242450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317003148).

242450000 is an abundant number, since it is smaller than the sum of its proper divisors (391556296).

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

242450000 is an equidigital number, since it uses as much as digits as its factorization.

242450000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 242450000 is about 15570.8060163885. The cubic root of 242450000 is about 623.5539904034.

The spelling of 242450000 in words is "two hundred forty-two million, four hundred fifty thousand".