440070400 has 432 divisors, whose sum is σ = 1459906560. Its totient is φ = 127180800.

The previous prime is 440070383. The next prime is 440070401. The reversal of 440070400 is 4070044.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (440070401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9363177 + ... + 9363223.

Almost surely, 2^440070400 is an apocalyptic number.

440070400 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 440070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729953280).

440070400 is an abundant number, since it is smaller than the sum of its proper divisors (1019836160).

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

440070400 is a wasteful number, since it uses less digits than its factorization.

440070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The square root of 440070400 is about 20977.8549904417. The cubic root of 440070400 is about 760.6310548153.

It can be divided in two parts, 4400 and 70400, that multiplied together give a square (309760000 = 17600²).

The spelling of 440070400 in words is "four hundred forty million, seventy thousand, four hundred".