493991680 has 144 divisors (see below), whose sum is σ = 1456668864. Its totient is φ = 156303360.

The previous prime is 493991671. The next prime is 493991689. The reversal of 493991680 is 86199394.

It is an interprime number because it is at equal distance from previous prime (493991671) and next prime (493991689).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493991689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114360 + ... + 118600.

It is an arithmetic number, because the mean of its divisors is an integer number (10115756).

Almost surely, 2^493991680 is an apocalyptic number.

493991680 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 493991680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728334432).

493991680 is an abundant number, since it is smaller than the sum of its proper divisors (962677184).

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

493991680 is a wasteful number, since it uses less digits than its factorization.

493991680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4282 (or 4268 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 49.

The square root of 493991680 is about 22225.9236028562. The cubic root of 493991680 is about 790.5085013348.

The spelling of 493991680 in words is "four hundred ninety-three million, nine hundred ninety-one thousand, six hundred eighty".