490893559920 has 800 divisors, whose sum is σ = 1863295866432. Its totient is φ = 119305764864.

The previous prime is 490893559913. The next prime is 490893559939. The reversal of 490893559920 is 29955398094.

490893559920 is a `hidden beast` number, since 4 + 9 + 0 + 8 + 9 + 35 + 599 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 484593334 + ... + 484594346.

Almost surely, 2^490893559920 is an apocalyptic number.

490893559920 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 490893559920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931647933216).

490893559920 is an abundant number, since it is smaller than the sum of its proper divisors (1372402306512).

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

490893559920 is a wasteful number, since it uses less digits than its factorization.

490893559920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 31492800, while the sum is 63.

The spelling of 490893559920 in words is "four hundred ninety billion, eight hundred ninety-three million, five hundred fifty-nine thousand, nine hundred twenty".