242055000 has 320 divisors, whose sum is σ = 922204800. Its totient is φ = 58320000.

The previous prime is 242054971. The next prime is 242055001. The reversal of 242055000 is 550242.

It is a super-4 number, since 4×242055000⁴ (a number of 35 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242055001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1484919 + ... + 1485081.

It is an arithmetic number, because the mean of its divisors is an integer number (2881890).

Almost surely, 2^242055000 is an apocalyptic number.

242055000 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 242055000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461102400).

242055000 is an abundant number, since it is smaller than the sum of its proper divisors (680149800).

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

242055000 is a wasteful number, since it uses less digits than its factorization.

242055000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 242055000 is about 15558.1168526271. The cubic root of 242055000 is about 623.2151745555.

The spelling of 242055000 in words is "two hundred forty-two million, fifty-five thousand".