490532880 has 160 divisors (see below), whose sum is σ = 1618646400. Its totient is φ = 122535936.

The previous prime is 490532879. The next prime is 490532881. The reversal of 490532880 is 88235094.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (490532879) and next prime (490532881).

It is a super-2 number, since 2×490532880² = 481245012722188800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (490532881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 441766 + ... + 442874.

It is an arithmetic number, because the mean of its divisors is an integer number (10116540).

Almost surely, 2^490532880 is an apocalyptic number.

490532880 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 490532880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809323200).

490532880 is an abundant number, since it is smaller than the sum of its proper divisors (1128113520).

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

490532880 is a wasteful number, since it uses less digits than its factorization.

490532880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 490532880 is about 22147.9768827764. The cubic root of 490532880 is about 788.6592008551.

The spelling of 490532880 in words is "four hundred ninety million, five hundred thirty-two thousand, eight hundred eighty".