440484416100 has 81 divisors (see below), whose sum is σ = 1380736342713. Its totient is φ = 117457201440.

The previous prime is 440484416093. The next prime is 440484416111. The reversal of 440484416100 is 1614484044.

The square root of 440484416100 is 663690.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 158574389796 + 281910026304 = 398214^2 + 530952^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19899639 + ... + 19921761.

Almost surely, 2^440484416100 is an apocalyptic number.

440484416100 is the 663690-th square number.

It is an amenable number.

440484416100 is an abundant number, since it is smaller than the sum of its proper divisors (940251926613).

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

440484416100 is an equidigital number, since it uses as much as digits as its factorization.

440484416100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44266 (or 22133 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Multiplying 440484416100 by its sum of digits (36), we get a square (15857438979600 = 3982140²).

440484416100 divided by its sum of digits (36) gives a square (12235678225 = 110615²).

The spelling of 440484416100 in words is "four hundred forty billion, four hundred eighty-four million, four hundred sixteen thousand, one hundred".