242400 has 72 divisors (see below), whose sum is σ = 796824. Its totient is φ = 64000.

The previous prime is 242399. The next prime is 242413. The reversal of 242400 is 4242.

242400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (12) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2350 + ... + 2450.

It is an arithmetic number, because the mean of its divisors is an integer number (11067).

2²⁴²⁴⁰⁰ is an apocalyptic number.

242400 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 242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398412).

242400 is an abundant number, since it is smaller than the sum of its proper divisors (554424).

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

242400 is a wasteful number, since it uses less digits than its factorization.

242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 242400 is about 492.3413450036. The cubic root of 242400 is about 62.3511122674.

Adding to 242400 its reverse (4242), we get a palindrome (246642).

It can be divided in two parts, 24 and 2400, that multiplied together give a square (57600 = 240²).

The spelling of 242400 in words is "two hundred forty-two thousand, four hundred", and thus it is an iban number.