496828800 has 288 divisors, whose sum is σ = 1910606880. Its totient is φ = 122204160.

The previous prime is 496828799. The next prime is 496828811. The reversal of 496828800 is 8828694.

It is a happy number.

496828800 is a `hidden beast` number, since 496 + 82 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 373737 + ... + 375063.

Almost surely, 2^496828800 is an apocalyptic number.

496828800 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 496828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955303440).

496828800 is an abundant number, since it is smaller than the sum of its proper divisors (1413778080).

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

496828800 is a wasteful number, since it uses less digits than its factorization.

496828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 496828800 is about 22289.6567941276. The cubic root of 496828800 is about 792.0189772006.

The spelling of 496828800 in words is "four hundred ninety-six million, eight hundred twenty-eight thousand, eight hundred".