242672493924 has 243 divisors, whose sum is σ = 735700473963. Its totient is φ = 67248268416.

The previous prime is 242672493913. The next prime is 242672493941. The reversal of 242672493924 is 429394276242.

It is a happy number.

The square root of 242672493924 is 492618.

It is a perfect power (a square), and thus also a powerful number.

242672493924 is a `hidden beast` number, since 2 + 4 + 2 + 6 + 7 + 249 + 392 + 4 = 666.

242672493924 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2023380324 + 240649113600 = 44982^2 + 490560^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 765528214 + ... + 765528530.

Almost surely, 2^242672493924 is an apocalyptic number.

242672493924 is the 492618-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242672493924

242672493924 is an abundant number, since it is smaller than the sum of its proper divisors (493027980039).

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

242672493924 is a wasteful number, since it uses less digits than its factorization.

242672493924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 366 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 242672493924 in words is "two hundred forty-two billion, six hundred seventy-two million, four hundred ninety-three thousand, nine hundred twenty-four".