496819775400 has 384 divisors, whose sum is σ = 1732846590720. Its totient is φ = 116833812480.

The previous prime is 496819775383. The next prime is 496819775401. The reversal of 496819775400 is 4577918694.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (496819775401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 246315192 + ... + 246317208.

It is an arithmetic number, because the mean of its divisors is an integer number (4512621330).

Almost surely, 2^496819775400 is an apocalyptic number.

496819775400 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 496819775400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866423295360).

496819775400 is an abundant number, since it is smaller than the sum of its proper divisors (1236026815320).

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

496819775400 is a wasteful number, since it uses less digits than its factorization.

496819775400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3445 (or 3436 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 60.

The spelling of 496819775400 in words is "four hundred ninety-six billion, eight hundred nineteen million, seven hundred seventy-five thousand, four hundred".