490533120 has 648 divisors, whose sum is σ = 2181029760. Its totient is φ = 100638720.

The previous prime is 490533103. The next prime is 490533149. The reversal of 490533120 is 21335094.

490533120 is a `hidden beast` number, since 4 + 9 + 0 + 533 + 120 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6209241 + ... + 6209319.

Almost surely, 2^490533120 is an apocalyptic number.

490533120 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 490533120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090514880).

490533120 is an abundant number, since it is smaller than the sum of its proper divisors (1690496640).

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

490533120 is a wasteful number, since it uses less digits than its factorization.

490533120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 490533120 is about 22147.9823008779. The cubic root of 490533120 is about 788.6593294759.

It can be divided in two parts, 4905 and 33120, that added together give a square (38025 = 195²).

The spelling of 490533120 in words is "four hundred ninety million, five hundred thirty-three thousand, one hundred twenty".