242469864 has 192 divisors, whose sum is σ = 843897600. Its totient is φ = 61129728.

The previous prime is 242469847. The next prime is 242469869. The reversal of 242469864 is 468964242.

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

It is not an unprimeable number, because it can be changed into a prime (242469869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149892 + ... + 151500.

It is an arithmetic number, because the mean of its divisors is an integer number (4395300).

Almost surely, 2^242469864 is an apocalyptic number.

242469864 is a gapful number since it is divisible by the number (24) 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 242469864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421948800).

242469864 is an abundant number, since it is smaller than the sum of its proper divisors (601427736).

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

242469864 is a wasteful number, since it uses less digits than its factorization.

242469864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1657 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 242469864 is about 15571.4438636884. The cubic root of 242469864 is about 623.5710192591.

The spelling of 242469864 in words is "two hundred forty-two million, four hundred sixty-nine thousand, eight hundred sixty-four".