496872 has 48 divisors (see below), whose sum is σ = 1379040. Its totient is φ = 161568.

The previous prime is 496871. The next prime is 496877. The reversal of 496872 is 278694.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (496871) 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, 4773 + ... + 4875.

It is an arithmetic number, because the mean of its divisors is an integer number (28730).

496872 is a Friedman number, since it can be written as 824*67*9, using all its digits and the basic arithmetic operations.

2⁴⁹⁶⁸⁷² 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 496872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689520).

496872 is an abundant number, since it is smaller than the sum of its proper divisors (882168).

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

496872 is a wasteful number, since it uses less digits than its factorization.

496872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 175 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 496872 is about 704.8914810097. The cubic root of 496872 is about 79.2041932276.

The spelling of 496872 in words is "four hundred ninety-six thousand, eight hundred seventy-two".