440051104 has 48 divisors (see below), whose sum is σ = 901734120. Its totient is φ = 211133440.

The previous prime is 440051057. The next prime is 440051119. The reversal of 440051104 is 401150044.

It can be written as a sum of positive squares in 4 ways, for example, as 414041104 + 26010000 = 20348^2 + 5100^2 .

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 7 ways as a sum of consecutive naturals, for example, 159174 + ... + 161914.

Almost surely, 2^440051104 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 440051104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450867060).

440051104 is an abundant number, since it is smaller than the sum of its proper divisors (461683016).

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

440051104 is a wasteful number, since it uses less digits than its factorization.

440051104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2953 (or 2945 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 440051104 is about 20977.3950718386. The cubic root of 440051104 is about 760.6199373885.

The spelling of 440051104 in words is "four hundred forty million, fifty-one thousand, one hundred four".