440076960 has 144 divisors (see below), whose sum is σ = 1590190056. Its totient is φ = 110444544.

The previous prime is 440076953. The next prime is 440076979. The reversal of 440076960 is 69670044.

It can be written as a sum of positive squares in 4 ways, for example, as 398241936 + 41835024 = 19956^2 + 6468^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 15492 + ... + 33468.

Almost surely, 2^440076960 is an apocalyptic number.

440076960 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 440076960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795095028).

440076960 is an abundant number, since it is smaller than the sum of its proper divisors (1150113096).

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

440076960 is a wasteful number, since it uses less digits than its factorization.

440076960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18015 (or 18004 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 440076960 is about 20978.0113452157. The cubic root of 440076960 is about 760.6348342976.

The spelling of 440076960 in words is "four hundred forty million, seventy-six thousand, nine hundred sixty".