242767392 has 192 divisors, whose sum is σ = 772208640. Its totient is φ = 65286144.

The previous prime is 242767391. The next prime is 242767409. The reversal of 242767392 is 293767242.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (242767391) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1746459 + ... + 1746597.

It is an arithmetic number, because the mean of its divisors is an integer number (4021920).

Almost surely, 2^242767392 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 242767392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386104320).

242767392 is an abundant number, since it is smaller than the sum of its proper divisors (529441248).

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

242767392 is a wasteful number, since it uses less digits than its factorization.

242767392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 287 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The square root of 242767392 is about 15580.9945767271. The cubic root of 242767392 is about 623.8259705353.

The spelling of 242767392 in words is "two hundred forty-two million, seven hundred sixty-seven thousand, three hundred ninety-two".