490447274803200 has 2688 divisors, whose sum is σ = 2142786356645760. Its totient is φ = 109731328819200.

The previous prime is 490447274803147. The next prime is 490447274803231. The reversal of 490447274803200 is 2308472744094.

490447274803200 is a `hidden beast` number, since 4 + 9 + 0 + 4 + 47 + 274 + 8 + 0 + 320 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 167 ways as a sum of consecutive naturals, for example, 85399139529 + ... + 85399145271.

It is an arithmetic number, because the mean of its divisors is an integer number (797167543395).

Almost surely, 2^{490447274803200} is an apocalyptic number.

490447274803200 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 490447274803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071393178322880).

490447274803200 is an abundant number, since it is smaller than the sum of its proper divisors (1652339081842560).

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

490447274803200 is an equidigital number, since it uses as much as digits as its factorization.

490447274803200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5825 (or 5777 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 490447274803200 in words is "four hundred ninety trillion, four hundred forty-seven billion, two hundred seventy-four million, eight hundred three thousand, two hundred".