496003200 has 576 divisors, whose sum is σ = 2085908160. Its totient is φ = 101376000.

The previous prime is 496003187. The next prime is 496003201. The reversal of 496003200 is 2300694.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (496003201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8131170 + ... + 8131230.

Almost surely, 2^496003200 is an apocalyptic number.

496003200 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 496003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042954080).

496003200 is an abundant number, since it is smaller than the sum of its proper divisors (1589904960).

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

496003200 is a wasteful number, since it uses less digits than its factorization.

496003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 496003200 is about 22271.1292933250. The cubic root of 496003200 is about 791.5800242514.

Adding to 496003200 its reverse (2300694), we get a palindrome (498303894).

The spelling of 496003200 in words is "four hundred ninety-six million, three thousand, two hundred".