490853885760 has 504 divisors, whose sum is σ = 2067357633120. Its totient is φ = 106289584128.

The previous prime is 490853885729. The next prime is 490853885773. The reversal of 490853885760 is 67588358094.

490853885760 is a `hidden beast` number, since 4 + 9 + 0 + 8 + 53 + 8 + 8 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×490853885760² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2589747 + ... + 2772813.

Almost surely, 2^490853885760 is an apocalyptic number.

490853885760 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 490853885760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033678816560).

490853885760 is an abundant number, since it is smaller than the sum of its proper divisors (1576503747360).

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

490853885760 is a wasteful number, since it uses less digits than its factorization.

490853885760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183123 (or 183103 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 490853885760 in words is "four hundred ninety billion, eight hundred fifty-three million, eight hundred eighty-five thousand, seven hundred sixty".