242856900 has 576 divisors, whose sum is σ = 997436160. Its totient is φ = 49766400.

The previous prime is 242856877. The next prime is 242856919. The reversal of 242856900 is 9658242.

It is a happy number.

It is a super-2 number, since 2×242856900² = 117958947755220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6563682 + ... + 6563718.

It is an arithmetic number, because the mean of its divisors is an integer number (1731660).

Almost surely, 2^242856900 is an apocalyptic number.

242856900 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 242856900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498718080).

242856900 is an abundant number, since it is smaller than the sum of its proper divisors (754579260).

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

242856900 is a wasteful number, since it uses less digits than its factorization.

242856900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 242856900 is about 15583.8666575404. The cubic root of 242856900 is about 623.9026290375.

The spelling of 242856900 in words is "two hundred forty-two million, eight hundred fifty-six thousand, nine hundred".