496204800 has 528 divisors, whose sum is σ = 2046868992. Its totient is φ = 103219200.

The previous prime is 496204799. The next prime is 496204801. The reversal of 496204800 is 8402694.

It is an interprime number because it is at equal distance from previous prime (496204799) and next prime (496204801).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496204801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6988765 + ... + 6988835.

Almost surely, 2^496204800 is an apocalyptic number.

496204800 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 496204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023434496).

496204800 is an abundant number, since it is smaller than the sum of its proper divisors (1550664192).

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

496204800 is a wasteful number, since it uses less digits than its factorization.

496204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 496204800 is about 22275.6548725284. The cubic root of 496204800 is about 791.6872553587.

The spelling of 496204800 in words is "four hundred ninety-six million, two hundred four thousand, eight hundred".