242320410 has 80 divisors (see below), whose sum is σ = 679954176. Its totient is φ = 61804512.

The previous prime is 242320369. The next prime is 242320411. The reversal of 242320410 is 14023242.

242320410 is a `hidden beast` number, since 24 + 232 + 0 + 410 = 666.

242320410 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×242320410² = 117438362205136200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (242320411) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12127 + ... + 25133.

Almost surely, 2^242320410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242320410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339977088).

242320410 is an abundant number, since it is smaller than the sum of its proper divisors (437633766).

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

242320410 is a wasteful number, since it uses less digits than its factorization.

242320410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13049 (or 13040 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 242320410 is about 15566.6441470215. The cubic root of 242320410 is about 623.4428736605.

Adding to 242320410 its reverse (14023242), we get a palindrome (256343652).

The spelling of 242320410 in words is "two hundred forty-two million, three hundred twenty thousand, four hundred ten".