490356355824 has 320 divisors, whose sum is σ = 1494796291200. Its totient is φ = 153667584000.

The previous prime is 490356355817. The next prime is 490356355829. The reversal of 490356355824 is 428553653094.

It is a happy number.

490356355824 is a `hidden beast` number, since 4 + 9 + 0 + 3 + 5 + 63 + 558 + 24 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490356355829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77181832 + ... + 77188184.

It is an arithmetic number, because the mean of its divisors is an integer number (4671238410).

Almost surely, 2^490356355824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490356355824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747398145600).

490356355824 is an abundant number, since it is smaller than the sum of its proper divisors (1004439935376).

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

490356355824 is a wasteful number, since it uses less digits than its factorization.

490356355824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6561 (or 6549 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 490356355824 in words is "four hundred ninety billion, three hundred fifty-six million, three hundred fifty-five thousand, eight hundred twenty-four".