242400172 has 48 divisors (see below), whose sum is σ = 504080640. Its totient is φ = 99824832.

The previous prime is 242400167. The next prime is 242400181. The reversal of 242400172 is 271004242.

It is a happy number.

242400172 is nontrivially palindromic in base 6.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84579 + ... + 87397.

It is an arithmetic number, because the mean of its divisors is an integer number (10501680).

Almost surely, 2^242400172 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 242400172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252040320).

242400172 is an abundant number, since it is smaller than the sum of its proper divisors (261680468).

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

242400172 is a wasteful number, since it uses less digits than its factorization.

242400172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2950 (or 2948 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 242400172 is about 15569.2058885481. The cubic root of 242400172 is about 623.5112701491.

The spelling of 242400172 in words is "two hundred forty-two million, four hundred thousand, one hundred seventy-two".