4424200400 has 30 divisors (see below), whose sum is σ = 10629142422. Its totient is φ = 1769680000.

The previous prime is 4424200393. The next prime is 4424200409. The reversal of 4424200400 is 40024244.

It can be written as a sum of positive squares in 3 ways, for example, as 43349056 + 4380851344 = 6584^2 + 66188^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4424200409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5529851 + ... + 5530650.

Almost surely, 2^4424200400 is an apocalyptic number.

4424200400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4424200400 is an abundant number, since it is smaller than the sum of its proper divisors (6204942022).

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

4424200400 is a wasteful number, since it uses less digits than its factorization.

4424200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11060519 (or 11060508 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 4424200400 is about 66514.6630450760. The cubic root of 4424200400 is about 1641.6412777759.

Adding to 4424200400 its reverse (40024244), we get a palindrome (4464224644).

The spelling of 4424200400 in words is "four billion, four hundred twenty-four million, two hundred thousand, four hundred".