4242400 has 36 divisors (see below), whose sum is σ = 10358712. Its totient is φ = 1696640.

The previous prime is 4242397. The next prime is 4242409. The reversal of 4242400 is 42424.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4242409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1852 + ... + 3451.

It is an arithmetic number, because the mean of its divisors is an integer number (287742).

Almost surely, 2^4242400 is an apocalyptic number.

4242400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4242400 is an abundant number, since it is smaller than the sum of its proper divisors (6116312).

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

4242400 is a wasteful number, since it uses less digits than its factorization.

4242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5323 (or 5310 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4242400 is about 2059.7087172705. The cubic root of 4242400 is about 161.8839793173.

Adding to 4242400 its reverse (42424), we get a palindrome (4284824).

Multiplying 4242400 by its reverse (42424), we get a square (179979577600 = 424240²).

4242400 divided by its reverse (42424) gives a square (100 = 10²).

The spelling of 4242400 in words is "four million, two hundred forty-two thousand, four hundred".