242829900 has 126 divisors (see below), whose sum is σ = 790287092. Its totient is φ = 64735200.

The previous prime is 242829833. The next prime is 242829907. The reversal of 242829900 is 9928242.

242829900 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 (36).

It is not an unprimeable number, because it can be changed into a prime (242829907) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 71235 + ... + 74565.

Almost surely, 2^242829900 is an apocalyptic number.

242829900 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 242829900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395143546).

242829900 is an abundant number, since it is smaller than the sum of its proper divisors (547457192).

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

242829900 is a wasteful number, since it uses less digits than its factorization.

242829900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3363 (or 3341 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 242829900 is about 15583.0003529487. Note that the first 3 decimals coincide. The cubic root of 242829900 is about 623.8795070600.

The spelling of 242829900 in words is "two hundred forty-two million, eight hundred twenty-nine thousand, nine hundred".