4220400 has 60 divisors (see below), whose sum is σ = 13523192. Its totient is φ = 1125120.

The previous prime is 4220393. The next prime is 4220423. The reversal of 4220400 is 40224.

It is a tau number, because it is divible by the number of its divisors (60).

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 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, 559 + ... + 2958.

Almost surely, 2^4220400 is an apocalyptic number.

4220400 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 4220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6761596).

4220400 is an abundant number, since it is smaller than the sum of its proper divisors (9302792).

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

4220400 is a wasteful number, since it uses less digits than its factorization.

4220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3538 (or 3527 counting only the distinct ones).

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

The square root of 4220400 is about 2054.3612145872. The cubic root of 4220400 is about 161.6036645903.

Adding to 4220400 its reverse (40224), we get a palindrome (4260624).

The spelling of 4220400 in words is "four million, two hundred twenty thousand, four hundred".