869835456 has 168 divisors, whose sum is σ = 2974939440. Its totient is φ = 248500224.

The previous prime is 869835431. The next prime is 869835487. The reversal of 869835456 is 654538968.

It is a happy number.

869835456 is a `hidden beast` number, since 8 + 6 + 98 + 3 + 545 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×869835456² = 1513227441029455872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79536 + ... + 89808.

Almost surely, 2^869835456 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 869835456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487469720).

869835456 is an abundant number, since it is smaller than the sum of its proper divisors (2105103984).

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

869835456 is a wasteful number, since it uses less digits than its factorization.

869835456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10308 (or 10285 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The square root of 869835456 is about 29492.9729935793. The cubic root of 869835456 is about 954.5800831074.

The spelling of 869835456 in words is "eight hundred sixty-nine million, eight hundred thirty-five thousand, four hundred fifty-six".