440422400 has 312 divisors, whose sum is σ = 1316326464. Its totient is φ = 144179200.

The previous prime is 440422373. The next prime is 440422403. The reversal of 440422400 is 4224044.

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 (440422403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19148789 + ... + 19148811.

Almost surely, 2^440422400 is an apocalyptic number.

440422400 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 440422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658163232).

440422400 is an abundant number, since it is smaller than the sum of its proper divisors (875904064).

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

440422400 is a wasteful number, since it uses less digits than its factorization.

440422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 58 counting only the distinct ones).

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

The square root of 440422400 is about 20986.2431130491. The cubic root of 440422400 is about 760.8338032668.

Adding to 440422400 its reverse (4224044), we get a palindrome (444646444).

It can be divided in two parts, 4 and 40422400, that added together give a palindrome (40422404).

The spelling of 440422400 in words is "four hundred forty million, four hundred twenty-two thousand, four hundred".