864370440 has 192 divisors, whose sum is σ = 3085205760. Its totient is φ = 216898560.

The previous prime is 864370411. The next prime is 864370469. The reversal of 864370440 is 44073468.

864370440 is a `hidden beast` number, since 8 + 643 + 7 + 0 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (864370411) and next prime (864370469).

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 = 864370395 and 864370404.

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, 162625 + ... + 167855.

It is an arithmetic number, because the mean of its divisors is an integer number (16068780).

Almost surely, 2^864370440 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 864370440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542602880).

864370440 is an abundant number, since it is smaller than the sum of its proper divisors (2220835320).

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

864370440 is a wasteful number, since it uses less digits than its factorization.

864370440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5274 (or 5258 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 864370440 is about 29400.1775504843. The cubic root of 864370440 is about 952.5767313720.

The spelling of 864370440 in words is "eight hundred sixty-four million, three hundred seventy thousand, four hundred forty".