869832480 has 192 divisors, whose sum is σ = 3011613696. Its totient is φ = 209280000.

The previous prime is 869832473. The next prime is 869832487. The reversal of 869832480 is 84238968.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (869832473) and next prime (869832487).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (869832487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 796735 + ... + 797825.

It is an arithmetic number, because the mean of its divisors is an integer number (15685488).

Almost surely, 2^869832480 is an apocalyptic number.

869832480 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 869832480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505806848).

869832480 is an abundant number, since it is smaller than the sum of its proper divisors (2141781216).

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

869832480 is a wasteful number, since it uses less digits than its factorization.

869832480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 869832480 is about 29492.9225408402. The cubic root of 869832480 is about 954.5789944595.

The spelling of 869832480 in words is "eight hundred sixty-nine million, eight hundred thirty-two thousand, four hundred eighty".