242824464 has 120 divisors (see below), whose sum is σ = 724152312. Its totient is φ = 75694080.

The previous prime is 242824441. The next prime is 242824489. The reversal of 242824464 is 464428242.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 73616400 + 169208064 = 8580^2 + 13008^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 687712 + ... + 688064.

Almost surely, 2^242824464 is an apocalyptic number.

242824464 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 242824464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362076156).

242824464 is an abundant number, since it is smaller than the sum of its proper divisors (481327848).

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

242824464 is a wasteful number, since it uses less digits than its factorization.

242824464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 656 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

The square root of 242824464 is about 15582.8259311333. The cubic root of 242824464 is about 623.8748516280.

The spelling of 242824464 in words is "two hundred forty-two million, eight hundred twenty-four thousand, four hundred sixty-four".