242292900 has 72 divisors (see below), whose sum is σ = 723675904. Its totient is φ = 62524800.

The previous prime is 242292899. The next prime is 242292907. The reversal of 242292900 is 9292242.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (242292907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3727 + ... + 22326.

Almost surely, 2^242292900 is an apocalyptic number.

242292900 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 242292900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361837952).

242292900 is an abundant number, since it is smaller than the sum of its proper divisors (481383004).

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

242292900 is a wasteful number, since it uses less digits than its factorization.

242292900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26101 (or 26094 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 242292900 is about 15565.7605018194. The cubic root of 242292900 is about 623.4192801567.

The spelling of 242292900 in words is "two hundred forty-two million, two hundred ninety-two thousand, nine hundred".