490923982080 has 864 divisors, whose sum is σ = 2132358359040. Its totient is φ = 101676072960.

The previous prime is 490923982069. The next prime is 490923982091. The reversal of 490923982080 is 80289329094.

It is a happy number.

490923982080 is a `hidden beast` number, since 4 + 90 + 92 + 398 + 2 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (490923982069) and next prime (490923982091).

It is a super-2 number, since 2×490923982080² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35232715 + ... + 35246645.

It is an arithmetic number, because the mean of its divisors is an integer number (2468007360).

Almost surely, 2^490923982080 is an apocalyptic number.

490923982080 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 490923982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066179179520).

490923982080 is an abundant number, since it is smaller than the sum of its proper divisors (1641434376960).

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

490923982080 is a wasteful number, since it uses less digits than its factorization.

490923982080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14007 (or 13990 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 490923982080 in words is "four hundred ninety billion, nine hundred twenty-three million, nine hundred eighty-two thousand, eighty".