4212400 has 30 divisors (see below), whose sum is σ = 10121252. Its totient is φ = 1684800.

The previous prime is 4212371. The next prime is 4212401. The reversal of 4212400 is 42124.

It is not an unprimeable number, because it can be changed into a prime (4212401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4866 + ... + 5665.

Almost surely, 2^4212400 is an apocalyptic number.

4212400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4212400 is an abundant number, since it is smaller than the sum of its proper divisors (5908852).

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

4212400 is a wasteful number, since it uses less digits than its factorization.

4212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10549 (or 10538 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 4212400 is about 2052.4132137559. The cubic root of 4212400 is about 161.5014904635.

Adding to 4212400 its reverse (42124), we get a palindrome (4254524).

Multiplying 4212400 by its reverse (42124), we get a square (177443137600 = 421240²).

4212400 divided by its reverse (42124) gives a square (100 = 10²).

The spelling of 4212400 in words is "four million, two hundred twelve thousand, four hundred".