242020800 has 378 divisors, whose sum is σ = 1003557048. Its totient is φ = 55319040.

The previous prime is 242020787. The next prime is 242020819. The reversal of 242020800 is 8020242.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

242020800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 34574397 + ... + 34574403.

Almost surely, 2^242020800 is an apocalyptic number.

242020800 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 242020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501778524).

242020800 is an abundant number, since it is smaller than the sum of its proper divisors (761536248).

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

242020800 is an frugal number, since it uses more digits than its factorization.

242020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 242020800 is about 15557.0177090598. The cubic root of 242020800 is about 623.1858217736.

It can be divided in two parts, 2420 and 20800, that added together give a triangular number (23220 = T₂₁₅).

The spelling of 242020800 in words is "two hundred forty-two million, twenty thousand, eight hundred".