493658880 has 576 divisors, whose sum is σ = 1977937920. Its totient is φ = 103219200.

The previous prime is 493658873. The next prime is 493658927. The reversal of 493658880 is 88856394.

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, 15924465 + ... + 15924495.

It is an arithmetic number, because the mean of its divisors is an integer number (3433920).

Almost surely, 2^493658880 is an apocalyptic number.

493658880 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 493658880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988968960).

493658880 is an abundant number, since it is smaller than the sum of its proper divisors (1484279040).

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

493658880 is a wasteful number, since it uses less digits than its factorization.

493658880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The square root of 493658880 is about 22218.4355884927. The cubic root of 493658880 is about 790.3309407665.

The spelling of 493658880 in words is "four hundred ninety-three million, six hundred fifty-eight thousand, eight hundred eighty".