493628760 has 96 divisors (see below), whose sum is σ = 1674073440. Its totient is φ = 125908992.

The previous prime is 493628753. The next prime is 493628761. The reversal of 493628760 is 67826394.

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 (493628761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21529 + ... + 38088.

It is an arithmetic number, because the mean of its divisors is an integer number (17438265).

Almost surely, 2^493628760 is an apocalyptic number.

493628760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

493628760 is an abundant number, since it is smaller than the sum of its proper divisors (1180444680).

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

493628760 is a wasteful number, since it uses less digits than its factorization.

493628760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59657 (or 59650 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 493628760 is about 22217.7577626546. The cubic root of 493628760 is about 790.3148667438.

The spelling of 493628760 in words is "four hundred ninety-three million, six hundred twenty-eight thousand, seven hundred sixty".