440564400 has 360 divisors, whose sum is σ = 1669602960. Its totient is φ = 110315520.

The previous prime is 440564389. The next prime is 440564437. The reversal of 440564400 is 4465044.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3898744 + ... + 3898856.

It is an arithmetic number, because the mean of its divisors is an integer number (4637786).

Almost surely, 2^440564400 is an apocalyptic number.

440564400 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 440564400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834801480).

440564400 is an abundant number, since it is smaller than the sum of its proper divisors (1229038560).

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

440564400 is a wasteful number, since it uses less digits than its factorization.

440564400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 440564400 is about 20989.6260090550. The cubic root of 440564400 is about 760.9155632552.

The spelling of 440564400 in words is "four hundred forty million, five hundred sixty-four thousand, four hundred".