490728140 has 144 divisors (see below), whose sum is σ = 1282417920. Its totient is φ = 156925440.

The previous prime is 490728131. The next prime is 490728157. The reversal of 490728140 is 41827094.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 490728140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 880742 + ... + 881298.

It is an arithmetic number, because the mean of its divisors is an integer number (8905680).

Almost surely, 2^490728140 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 490728140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641208960).

490728140 is an abundant number, since it is smaller than the sum of its proper divisors (791689780).

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

490728140 is a wasteful number, since it uses less digits than its factorization.

490728140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 490728140 is about 22152.3845217620. The cubic root of 490728140 is about 788.7638307203.

The spelling of 490728140 in words is "four hundred ninety million, seven hundred twenty-eight thousand, one hundred forty".