493022880 has 288 divisors, whose sum is σ = 1957737600. Its totient is φ = 110647296.

The previous prime is 493022863. The next prime is 493022897. The reversal of 493022880 is 88220394.

It is an interprime number because it is at equal distance from previous prime (493022863) and next prime (493022897).

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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 594306 + ... + 595134.

It is an arithmetic number, because the mean of its divisors is an integer number (6797700).

Almost surely, 2^493022880 is an apocalyptic number.

493022880 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 493022880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978868800).

493022880 is an abundant number, since it is smaller than the sum of its proper divisors (1464714720).

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

493022880 is a wasteful number, since it uses less digits than its factorization.

493022880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 493022880 is about 22204.1185368841. The cubic root of 493022880 is about 789.9913901748.

The spelling of 493022880 in words is "four hundred ninety-three million, twenty-two thousand, eight hundred eighty".