440257000 has 64 divisors (see below), whose sum is σ = 1045736640. Its totient is φ = 173448000.

The previous prime is 440256989. The next prime is 440257001. The reversal of 440257000 is 752044.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440257001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63715 + ... + 70285.

It is an arithmetic number, because the mean of its divisors is an integer number (16339635).

Almost surely, 2^440257000 is an apocalyptic number.

440257000 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 440257000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522868320).

440257000 is an abundant number, since it is smaller than the sum of its proper divisors (605479640).

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

440257000 is a wasteful number, since it uses less digits than its factorization.

440257000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6659 (or 6645 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 440257000 is about 20982.3020662653. The cubic root of 440257000 is about 760.7385479940.

The spelling of 440257000 in words is "four hundred forty million, two hundred fifty-seven thousand".