242405760 has 128 divisors (see below), whose sum is σ = 777288960. Its totient is φ = 64256000.

The previous prime is 242405719. The next prime is 242405767. The reversal of 242405760 is 67504242.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242405767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 481669 + ... + 482171.

It is an arithmetic number, because the mean of its divisors is an integer number (6072570).

Almost surely, 2^242405760 is an apocalyptic number.

242405760 is a gapful number since it is divisible by the number (20) 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 242405760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388644480).

242405760 is an abundant number, since it is smaller than the sum of its proper divisors (534883200).

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

242405760 is a wasteful number, since it uses less digits than its factorization.

242405760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 242405760 is about 15569.3853443224. The cubic root of 242405760 is about 623.5160613368.

The spelling of 242405760 in words is "two hundred forty-two million, four hundred five thousand, seven hundred sixty".