490015872 has 128 divisors (see below), whose sum is σ = 1467331200. Its totient is φ = 160957440.

The previous prime is 490015859. The next prime is 490015873. The reversal of 490015872 is 278510094.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (490015873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244378 + ... + 246374.

It is an arithmetic number, because the mean of its divisors is an integer number (11463525).

Almost surely, 2^490015872 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 490015872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733665600).

490015872 is an abundant number, since it is smaller than the sum of its proper divisors (977315328).

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

490015872 is a wasteful number, since it uses less digits than its factorization.

490015872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 490015872 is about 22136.3021302114. The cubic root of 490015872 is about 788.3820285074.

The spelling of 490015872 in words is "four hundred ninety million, fifteen thousand, eight hundred seventy-two".