4214400 has 96 divisors (see below), whose sum is σ = 13912800. Its totient is φ = 1121280.

The previous prime is 4214393. The next prime is 4214407. The reversal of 4214400 is 44124.

It is an interprime number because it is at equal distance from previous prime (4214393) and next prime (4214407).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4214400² = 35522334720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4214400.

It is not an unprimeable number, because it can be changed into a prime (4214407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9381 + ... + 9819.

It is an arithmetic number, because the mean of its divisors is an integer number (144925).

Almost surely, 2^4214400 is an apocalyptic number.

4214400 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 4214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6956400).

4214400 is an abundant number, since it is smaller than the sum of its proper divisors (9698400).

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

4214400 is a wasteful number, since it uses less digits than its factorization.

4214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4214400 is about 2052.9003872570. The cubic root of 4214400 is about 161.5270461147.

Adding to 4214400 its reverse (44124), we get a palindrome (4258524).

The spelling of 4214400 in words is "four million, two hundred fourteen thousand, four hundred".