496483200 has 144 divisors (see below), whose sum is σ = 1771668600. Its totient is φ = 132387840.

The previous prime is 496483193. The next prime is 496483201. The reversal of 496483200 is 2384694.

It is a happy number.

496483200 is a `hidden beast` number, since 4 + 9 + 648 + 3 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496483201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20181 + ... + 37419.

Almost surely, 2^496483200 is an apocalyptic number.

496483200 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 496483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885834300).

496483200 is an abundant number, since it is smaller than the sum of its proper divisors (1275185400).

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

496483200 is a wasteful number, since it uses less digits than its factorization.

496483200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17269 (or 17249 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 496483200 is about 22281.9029707967. The cubic root of 496483200 is about 791.8352886738.

The spelling of 496483200 in words is "four hundred ninety-six million, four hundred eighty-three thousand, two hundred".