242625000 has 112 divisors (see below), whose sum is σ = 759365280. Its totient is φ = 64600000.

The previous prime is 242624981. The next prime is 242625007. The reversal of 242625000 is 526242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242625007) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 374677 + ... + 375323.

Almost surely, 2^242625000 is an apocalyptic number.

242625000 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 242625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379682640).

242625000 is an abundant number, since it is smaller than the sum of its proper divisors (516740280).

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

242625000 is an frugal number, since it uses more digits than its factorization.

242625000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 242625000 is about 15576.4244934452. The cubic root of 242625000 is about 623.7039810601.

The spelling of 242625000 in words is "two hundred forty-two million, six hundred twenty-five thousand".