864446940 has 144 divisors (see below), whose sum is σ = 3173107392. Its totient is φ = 185960448.

The previous prime is 864446917. The next prime is 864446951. The reversal of 864446940 is 49644468.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1242 + ... + 41598.

It is an arithmetic number, because the mean of its divisors is an integer number (22035468).

Almost surely, 2^864446940 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 864446940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586553696).

864446940 is an abundant number, since it is smaller than the sum of its proper divisors (2308660452).

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

864446940 is a wasteful number, since it uses less digits than its factorization.

864446940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40396 (or 40391 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 864446940 is about 29401.4785342506. The cubic root of 864446940 is about 952.6048327380.

The spelling of 864446940 in words is "eight hundred sixty-four million, four hundred forty-six thousand, nine hundred forty".