496842400 has 72 divisors (see below), whose sum is σ = 1276793280. Its totient is φ = 188271360.

The previous prime is 496842373. The next prime is 496842403. The reversal of 496842400 is 4248694.

It is a self number, because there is not a number n which added to its sum of digits gives 496842400.

It is not an unprimeable number, because it can be changed into a prime (496842403) 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, 1144 + ... + 31543.

It is an arithmetic number, because the mean of its divisors is an integer number (17733240).

Almost surely, 2^496842400 is an apocalyptic number.

496842400 is a gapful number since it is divisible by the number (40) 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 496842400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638396640).

496842400 is an abundant number, since it is smaller than the sum of its proper divisors (779950880).

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

496842400 is a wasteful number, since it uses less digits than its factorization.

496842400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32726 (or 32713 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 496842400 is about 22289.9618662751. The cubic root of 496842400 is about 792.0262039420.

The spelling of 496842400 in words is "four hundred ninety-six million, eight hundred forty-two thousand, four hundred".