4216400 has 60 divisors (see below), whose sum is σ = 10332672. Its totient is φ = 1653120.

The previous prime is 4216393. The next prime is 4216411. The reversal of 4216400 is 46124.

4216400 is nontrivially palindromic in base 15.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 33137 + ... + 33263.

Almost surely, 2^4216400 is an apocalyptic number.

4216400 is a gapful number since it is divisible by the number (40) 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 4216400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5166336).

4216400 is an abundant number, since it is smaller than the sum of its proper divisors (6116272).

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

4216400 is a wasteful number, since it uses less digits than its factorization.

4216400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 4216400 is about 2053.3874451744. The cubic root of 4216400 is about 161.5525936819.

The spelling of 4216400 in words is "four million, two hundred sixteen thousand, four hundred".