242416125 has 128 divisors (see below), whose sum is σ = 530350080. Its totient is φ = 106920000.

The previous prime is 242416123. The next prime is 242416147. The reversal of 242416125 is 521614242.

242416125 is a `hidden beast` number, since 2 + 4 + 2 + 41 + 612 + 5 = 666.

It is not a de Polignac number, because 242416125 - 2¹ = 242416123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242416123) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 732210 + ... + 732540.

It is an arithmetic number, because the mean of its divisors is an integer number (4143360).

Almost surely, 2^242416125 is an apocalyptic number.

242416125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

242416125 is an abundant number, since it is smaller than the sum of its proper divisors (287933955).

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

242416125 is a wasteful number, since it uses less digits than its factorization.

242416125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 377 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 242416125 is about 15569.7182055424. The cubic root of 242416125 is about 623.5249481607.

The spelling of 242416125 in words is "two hundred forty-two million, four hundred sixteen thousand, one hundred twenty-five".