490752084049920 has 4608 divisors, whose sum is σ = 2266025819616000. Its totient is φ = 101974459023360.

The previous prime is 490752084049873. The next prime is 490752084049943. The reversal of 490752084049920 is 29940480257094.

490752084049920 is a `hidden beast` number, since 4 + 9 + 0 + 7 + 520 + 8 + 40 + 49 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 44613825822715 + ... + 44613825822725.

Almost surely, 2^{490752084049920} is an apocalyptic number.

490752084049920 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 490752084049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133012909808000).

490752084049920 is an abundant number, since it is smaller than the sum of its proper divisors (1775273735566080).

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

490752084049920 is an frugal number, since it uses more digits than its factorization.

490752084049920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 490752084049920 in words is "four hundred ninety trillion, seven hundred fifty-two billion, eighty-four million, forty-nine thousand, nine hundred twenty".