242705000 has 40 divisors (see below), whose sum is σ = 568669530. Its totient is φ = 97080000.

The previous prime is 242704999. The next prime is 242705003. The reversal of 242705000 is 507242.

It can be written as a sum of positive squares in 5 ways, for example, as 11847364 + 230857636 = 3442^2 + 15194^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (242705003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19271 + ... + 29270.

Almost surely, 2^242705000 is an apocalyptic number.

242705000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242705000 is an abundant number, since it is smaller than the sum of its proper divisors (325964530).

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

242705000 is an equidigital number, since it uses as much as digits as its factorization.

242705000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48567 (or 48548 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 242705000 is about 15578.9922652269. The cubic root of 242705000 is about 623.7725241966.

The spelling of 242705000 in words is "two hundred forty-two million, seven hundred five thousand".