242757900 has 432 divisors, whose sum is σ = 987936768. Its totient is φ = 48384000.

The previous prime is 242757899. The next prime is 242757929. The reversal of 242757900 is 9757242.

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 143 ways as a sum of consecutive naturals, for example, 2148244 + ... + 2148356.

Almost surely, 2^242757900 is an apocalyptic number.

242757900 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 242757900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493968384).

242757900 is an abundant number, since it is smaller than the sum of its proper divisors (745178868).

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

242757900 is a wasteful number, since it uses less digits than its factorization.

242757900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 242757900 is about 15580.6899718851. The cubic root of 242757900 is about 623.8178400731.

The spelling of 242757900 in words is "two hundred forty-two million, seven hundred fifty-seven thousand, nine hundred".