864465840 has 360 divisors, whose sum is σ = 3423597840. Its totient is φ = 194890752.

The previous prime is 864465839. The next prime is 864465841. The reversal of 864465840 is 48564468.

864465840 is a `hidden beast` number, since 8 + 64 + 4 + 6 + 584 + 0 = 666.

864465840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (864465839) and next prime (864465841).

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (864465841) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3774846 + ... + 3775074.

It is an arithmetic number, because the mean of its divisors is an integer number (9509994).

Almost surely, 2^864465840 is an apocalyptic number.

864465840 is a gapful number since it is divisible by the number (80) 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 864465840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711798920).

864465840 is an abundant number, since it is smaller than the sum of its proper divisors (2559132000).

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

864465840 is a wasteful number, since it uses less digits than its factorization.

864465840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 864465840 is about 29401.7999449013. The cubic root of 864465840 is about 952.6117751730.

The spelling of 864465840 in words is "eight hundred sixty-four million, four hundred sixty-five thousand, eight hundred forty".