493998720 has 128 divisors (see below), whose sum is σ = 1580869440. Its totient is φ = 131211264.

The previous prime is 493998707. The next prime is 493998781. The reversal of 493998720 is 27899394.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 877159 + ... + 877721.

Almost surely, 2^493998720 is an apocalyptic number.

493998720 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 493998720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790434720).

493998720 is an abundant number, since it is smaller than the sum of its proper divisors (1086870720).

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

493998720 is a wasteful number, since it uses less digits than its factorization.

493998720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The square root of 493998720 is about 22226.0819759129. The cubic root of 493998720 is about 790.5122565622.

The spelling of 493998720 in words is "four hundred ninety-three million, nine hundred ninety-eight thousand, seven hundred twenty".