490881024 has 90 divisors (see below), whose sum is σ = 1418483430. Its totient is φ = 163577856.

The previous prime is 490881023. The next prime is 490881029. The reversal of 490881024 is 420188094.

It can be written as a sum of positive squares in only one way, i.e., 398721024 + 92160000 = 19968^2 + 9600^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 490881024.

It is not an unprimeable number, because it can be changed into a prime (490881023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 145792 + ... + 149120.

It is an arithmetic number, because the mean of its divisors is an integer number (15760927).

Almost surely, 2^490881024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490881024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709241715).

490881024 is an abundant number, since it is smaller than the sum of its proper divisors (927602406).

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

490881024 is an equidigital number, since it uses as much as digits as its factorization.

490881024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3363 (or 3334 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 490881024 is about 22155.8349876505. The cubic root of 490881024 is about 788.8457340790.

The spelling of 490881024 in words is "four hundred ninety million, eight hundred eighty-one thousand, twenty-four".