496945800 has 192 divisors, whose sum is σ = 1843632000. Its totient is φ = 122307840.

The previous prime is 496945783. The next prime is 496945807. The reversal of 496945800 is 8549694.

It is a happy number.

496945800 is a `hidden beast` number, since 4 + 9 + 69 + 4 + 580 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (496945807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66661 + ... + 73739.

It is an arithmetic number, because the mean of its divisors is an integer number (9602250).

Almost surely, 2^496945800 is an apocalyptic number.

496945800 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 496945800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921816000).

496945800 is an abundant number, since it is smaller than the sum of its proper divisors (1346686200).

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

496945800 is a wasteful number, since it uses less digits than its factorization.

496945800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7117 (or 7102 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 496945800 is about 22292.2811753306. The cubic root of 496945800 is about 792.0811441195.

The spelling of 496945800 in words is "four hundred ninety-six million, nine hundred forty-five thousand, eight hundred".