490508920 has 64 divisors (see below), whose sum is σ = 1229644800. Its totient is φ = 174564480.

The previous prime is 490508903. The next prime is 490508947. The reversal of 490508920 is 29805094.

It is a self number, because there is not a number n which added to its sum of digits gives 490508920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8821 + ... + 32539.

It is an arithmetic number, because the mean of its divisors is an integer number (19213200).

Almost surely, 2^490508920 is an apocalyptic number.

490508920 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 490508920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614822400).

490508920 is an abundant number, since it is smaller than the sum of its proper divisors (739135880).

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

490508920 is a wasteful number, since it uses less digits than its factorization.

490508920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23788 (or 23784 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 490508920 is about 22147.4359689784. The cubic root of 490508920 is about 788.6463600019.

It can be divided in two parts, 49050 and 8920, that added together give a triangular number (57970 = T₃₄₀).

The spelling of 490508920 in words is "four hundred ninety million, five hundred eight thousand, nine hundred twenty".