496996800 has 168 divisors, whose sum is σ = 1666012416. Its totient is φ = 129653760.

The previous prime is 496996789. The next prime is 496996807. The reversal of 496996800 is 8699694.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496996807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224499 + ... + 226701.

Almost surely, 2^496996800 is an apocalyptic number.

496996800 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 496996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833006208).

496996800 is an abundant number, since it is smaller than the sum of its proper divisors (1169015616).

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

496996800 is a wasteful number, since it uses less digits than its factorization.

496996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2275 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The square root of 496996800 is about 22293.4250396838. The cubic root of 496996800 is about 792.1082394664.

The spelling of 496996800 in words is "four hundred ninety-six million, nine hundred ninety-six thousand, eight hundred".