868733460 has 288 divisors, whose sum is σ = 3247276032. Its totient is φ = 183617280.

The previous prime is 868733449. The next prime is 868733479. The reversal of 868733460 is 64337868.

868733460 is a `hidden beast` number, since 86 + 87 + 33 + 460 = 666.

868733460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 897897 + ... + 898863.

It is an arithmetic number, because the mean of its divisors is an integer number (11275264).

Almost surely, 2^868733460 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 868733460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623638016).

868733460 is an abundant number, since it is smaller than the sum of its proper divisors (2378542572).

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

868733460 is a wasteful number, since it uses less digits than its factorization.

868733460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 868733460 is about 29474.2847241456. The cubic root of 868733460 is about 954.1767930463.

The spelling of 868733460 in words is "eight hundred sixty-eight million, seven hundred thirty-three thousand, four hundred sixty".