242912592 has 180 divisors, whose sum is σ = 779442300. Its totient is φ = 70189056.

The previous prime is 242912581. The next prime is 242912599. The reversal of 242912592 is 295219242.

242912592 is digitally balanced in base 2, 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 6 ways, for example, as 5875776 + 237036816 = 2424^2 + 15396^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242912599) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 540784 + ... + 541232.

It is an arithmetic number, because the mean of its divisors is an integer number (4330235).

Almost surely, 2^242912592 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 242912592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389721150).

242912592 is an abundant number, since it is smaller than the sum of its proper divisors (536529708).

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

242912592 is a wasteful number, since it uses less digits than its factorization.

242912592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 484 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 242912592 is about 15585.6534030499. The cubic root of 242912592 is about 623.9503165571.

The spelling of 242912592 in words is "two hundred forty-two million, nine hundred twelve thousand, five hundred ninety-two".