493645680 has 240 divisors, whose sum is σ = 1824642144. Its totient is φ = 118609920.

The previous prime is 493645679. The next prime is 493645687. The reversal of 493645680 is 86546394.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493645687) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1243242 + ... + 1243638.

Almost surely, 2^493645680 is an apocalyptic number.

493645680 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 493645680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912321072).

493645680 is an abundant number, since it is smaller than the sum of its proper divisors (1330996464).

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

493645680 is a wasteful number, since it uses less digits than its factorization.

493645680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 493645680 is about 22218.1385358900. The cubic root of 493645680 is about 790.3238964546.

The spelling of 493645680 in words is "four hundred ninety-three million, six hundred forty-five thousand, six hundred eighty".