490599720 has 256 divisors, whose sum is σ = 1786579200. Its totient is φ = 119024640.

The previous prime is 490599679. The next prime is 490599721. The reversal of 490599720 is 27995094.

490599720 is a `hidden beast` number, since 490 + 5 + 99 + 72 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (490599721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1165110 + ... + 1165530.

It is an arithmetic number, because the mean of its divisors is an integer number (6978825).

Almost surely, 2^490599720 is an apocalyptic number.

490599720 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 490599720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893289600).

490599720 is an abundant number, since it is smaller than the sum of its proper divisors (1295979480).

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

490599720 is a wasteful number, since it uses less digits than its factorization.

490599720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 527 counting only the distinct ones).

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

The square root of 490599720 is about 22149.4857728120. The cubic root of 490599720 is about 788.6950201237.

The spelling of 490599720 in words is "four hundred ninety million, five hundred ninety-nine thousand, seven hundred twenty".