490190088960 has 1728 divisors, whose sum is σ = 2104525946880. Its totient is φ = 107296358400.

The previous prime is 490190088953. The next prime is 490190088977. The reversal of 490190088960 is 69880091094.

490190088960 is a `hidden beast` number, since 490 + 1 + 90 + 0 + 8 + 8 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×490190088960² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 490190088897 and 490190088906.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3859764417 + ... + 3859764543.

It is an arithmetic number, because the mean of its divisors is an integer number (1217896960).

Almost surely, 2^490190088960 is an apocalyptic number.

490190088960 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 490190088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052262973440).

490190088960 is an abundant number, since it is smaller than the sum of its proper divisors (1614335857920).

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

490190088960 is a wasteful number, since it uses less digits than its factorization.

490190088960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 490190088960 in words is "four hundred ninety billion, one hundred ninety million, eighty-eight thousand, nine hundred sixty".