869268480 has 176 divisors, whose sum is σ = 2944732320. Its totient is φ = 218103808.

The previous prime is 869268473. The next prime is 869268481. The reversal of 869268480 is 84862968.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (869268481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259456 + ... + 262784.

Almost surely, 2^869268480 is an apocalyptic number.

869268480 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 869268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472366160).

869268480 is an abundant number, since it is smaller than the sum of its proper divisors (2075463840).

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

869268480 is a wasteful number, since it uses less digits than its factorization.

869268480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3374 (or 3356 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The square root of 869268480 is about 29483.3593743997. The cubic root of 869268480 is about 954.3726332847.

The spelling of 869268480 in words is "eight hundred sixty-nine million, two hundred sixty-eight thousand, four hundred eighty".