496368 has 50 divisors (see below), whose sum is σ = 1440384. Its totient is φ = 165024.

The previous prime is 496343. The next prime is 496381. The reversal of 496368 is 863694.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

496368 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1105 + ... + 1487.

496368 is a Friedman number, since it can be written as 6^4*(389-6), using all its digits and the basic arithmetic operations.

2⁴⁹⁶³⁶⁸ is an apocalyptic number.

496368 is a gapful number since it is divisible by the number (48) 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 496368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720192).

496368 is an abundant number, since it is smaller than the sum of its proper divisors (944016).

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

496368 is a wasteful number, since it uses less digits than its factorization.

496368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 388 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 496368 is about 704.5338884681. The cubic root of 496368 is about 79.1774040222.

The spelling of 496368 in words is "four hundred ninety-six thousand, three hundred sixty-eight".