4446400420 has 96 divisors (see below), whose sum is σ = 11660221440. Its totient is φ = 1383661440.

The previous prime is 4446400393. The next prime is 4446400447. The reversal of 4446400420 is 240046444.

It is an interprime number because it is at equal distance from previous prime (4446400393) and next prime (4446400447).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1136107 + ... + 1140013.

It is an arithmetic number, because the mean of its divisors is an integer number (121460640).

Almost surely, 2^4446400420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4446400420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5830110720).

4446400420 is an abundant number, since it is smaller than the sum of its proper divisors (7213821020).

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

4446400420 is a wasteful number, since it uses less digits than its factorization.

4446400420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4673 (or 4671 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 4446400420 is about 66681.3348696620. The cubic root of 4446400420 is about 1644.3825400397.

Adding to 4446400420 its reverse (240046444), we get a palindrome (4686446864).

It can be divided in two parts, 44 and 46400420, that added together give a palindrome (46400464).

The spelling of 4446400420 in words is "four billion, four hundred forty-six million, four hundred thousand, four hundred twenty".