490799520 has 384 divisors, whose sum is σ = 1874638080. Its totient is φ = 119439360.

The previous prime is 490799497. The next prime is 490799531. The reversal of 490799520 is 25997094.

490799520 is a `hidden beast` number, since 490 + 79 + 95 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3010959 + ... + 3011121.

It is an arithmetic number, because the mean of its divisors is an integer number (4881870).

Almost surely, 2^490799520 is an apocalyptic number.

490799520 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 490799520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937319040).

490799520 is an abundant number, since it is smaller than the sum of its proper divisors (1383838560).

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

490799520 is a wasteful number, since it uses less digits than its factorization.

490799520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 490799520 is about 22153.9955764192. The cubic root of 490799520 is about 788.8020726905.

The spelling of 490799520 in words is "four hundred ninety million, seven hundred ninety-nine thousand, five hundred twenty".