440645940 has 192 divisors, whose sum is σ = 1603768320. Its totient is φ = 98340480.

The previous prime is 440645927. The next prime is 440646013. The reversal of 440645940 is 49546044.

440645940 is a `hidden beast` number, since 4 + 4 + 0 + 64 + 594 + 0 = 666.

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 = 440645895 and 440645904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 161185 + ... + 163895.

It is an arithmetic number, because the mean of its divisors is an integer number (8352960).

Almost surely, 2^440645940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440645940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801884160).

440645940 is an abundant number, since it is smaller than the sum of its proper divisors (1163122380).

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

440645940 is a wasteful number, since it uses less digits than its factorization.

440645940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2779 (or 2771 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 440645940 is about 20991.5683072990. The cubic root of 440645940 is about 760.9625039731.

The spelling of 440645940 in words is "four hundred forty million, six hundred forty-five thousand, nine hundred forty".