440556480 has 504 divisors, whose sum is σ = 1911620256. Its totient is φ = 90685440.

The previous prime is 440556461. The next prime is 440556539. The reversal of 440556480 is 84655044.

440556480 is a `hidden beast` number, since 4 + 4 + 0 + 5 + 5 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10745260 + ... + 10745300.

Almost surely, 2^440556480 is an apocalyptic number.

440556480 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 440556480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955810128).

440556480 is an abundant number, since it is smaller than the sum of its proper divisors (1471063776).

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

440556480 is a wasteful number, since it uses less digits than its factorization.

440556480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 440556480 is about 20989.4373435783. The cubic root of 440556480 is about 760.9110035833.

The spelling of 440556480 in words is "four hundred forty million, five hundred fifty-six thousand, four hundred eighty".