440827440 has 160 divisors (see below), whose sum is σ = 1422575616. Its totient is φ = 112803840.

The previous prime is 440827421. The next prime is 440827441. The reversal of 440827440 is 44728044.

It is not an unprimeable number, because it can be changed into a prime (440827441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1435767 + ... + 1436073.

Almost surely, 2^440827440 is an apocalyptic number.

440827440 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 440827440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711287808).

440827440 is an abundant number, since it is smaller than the sum of its proper divisors (981748176).

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

440827440 is a wasteful number, since it uses less digits than its factorization.

440827440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 33.

The square root of 440827440 is about 20995.8910265795. The cubic root of 440827440 is about 761.0669685960.

The spelling of 440827440 in words is "four hundred forty million, eight hundred twenty-seven thousand, four hundred forty".