242497440 has 144 divisors (see below), whose sum is σ = 845365248. Its totient is φ = 63272448.

The previous prime is 242497439. The next prime is 242497457. The reversal of 242497440 is 44794242.

242497440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 242497395 and 242497404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65889 + ... + 69471.

It is an arithmetic number, because the mean of its divisors is an integer number (5870592).

Almost surely, 2^242497440 is an apocalyptic number.

242497440 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 242497440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422682624).

242497440 is an abundant number, since it is smaller than the sum of its proper divisors (602867808).

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

242497440 is a wasteful number, since it uses less digits than its factorization.

242497440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3651 (or 3640 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 242497440 is about 15572.3293055342. The cubic root of 242497440 is about 623.5946578567.

The spelling of 242497440 in words is "two hundred forty-two million, four hundred ninety-seven thousand, four hundred forty".