242753808 has 80 divisors (see below), whose sum is σ = 706240512. Its totient is φ = 71184000.

The previous prime is 242753767. The next prime is 242753821. The reversal of 242753808 is 808357242.

It is a super-2 number, since 2×242753808² = 117858822597001728, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8953 + ... + 23783.

Almost surely, 2^242753808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242753808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353120256).

242753808 is an abundant number, since it is smaller than the sum of its proper divisors (463486704).

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

242753808 is a wasteful number, since it uses less digits than its factorization.

242753808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14884 (or 14878 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 242753808 is about 15580.5586549392. The cubic root of 242753808 is about 623.8143349665.

The spelling of 242753808 in words is "two hundred forty-two million, seven hundred fifty-three thousand, eight hundred eight".