440496144 has 225 divisors, whose sum is σ = 1428302029. Its totient is φ = 130965120.

The previous prime is 440496131. The next prime is 440496149. The reversal of 440496144 is 441694044.

The square root of 440496144 is 20988.

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., 317552400 + 122943744 = 17820^2 + 11088^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 440496099 and 440496108.

It is not an unprimeable number, because it can be changed into a prime (440496149) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8311222 + ... + 8311274.

Almost surely, 2^440496144 is an apocalyptic number.

440496144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

440496144 is the 20988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440496144

440496144 is an abundant number, since it is smaller than the sum of its proper divisors (987805885).

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

440496144 is a wasteful number, since it uses less digits than its factorization.

440496144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The cubic root of 440496144 is about 760.8762653795.

Multiplying 440496144 by its sum of digits (36), we get a square (15857861184 = 125928²).

440496144 divided by its sum of digits (36) gives a square (12236004 = 3498²).

The spelling of 440496144 in words is "four hundred forty million, four hundred ninety-six thousand, one hundred forty-four".