499080960 has 288 divisors, whose sum is σ = 2025031680. Its totient is φ = 114020352.

The previous prime is 499080949. The next prime is 499080973. The reversal of 499080960 is 69080994.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 240889 + ... + 242951.

It is an arithmetic number, because the mean of its divisors is an integer number (7031360).

Almost surely, 2^499080960 is an apocalyptic number.

499080960 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 499080960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012515840).

499080960 is an abundant number, since it is smaller than the sum of its proper divisors (1525950720).

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

499080960 is a wasteful number, since it uses less digits than its factorization.

499080960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 499080960 is about 22340.1199638677. The cubic root of 499080960 is about 793.2139327088.

The spelling of 499080960 in words is "four hundred ninety-nine million, eighty thousand, nine hundred sixty".