832480 has 72 divisors (see below), whose sum is σ = 2212056. Its totient is φ = 295680.

The previous prime is 832477. The next prime is 832483. The reversal of 832480 is 84238.

832480 = 95² + 96² + ... + 149².

832480 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 (832477) and next prime (832483).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (832483) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19339 + ... + 19381.

It is an arithmetic number, because the mean of its divisors is an integer number (30723).

2⁸³²⁴⁸⁰ is an apocalyptic number.

832480 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 832480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106028).

832480 is an abundant number, since it is smaller than the sum of its proper divisors (1379576).

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

832480 is a wasteful number, since it uses less digits than its factorization.

832480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 832480 is about 912.4034195464. The cubic root of 832480 is about 94.0714712215.

The spelling of 832480 in words is "eight hundred thirty-two thousand, four hundred eighty".