493510680 has 192 divisors, whose sum is σ = 1829187360. Its totient is φ = 114315264.

The previous prime is 493510657. The next prime is 493510691. The reversal of 493510680 is 86015394.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76459 + ... + 82661.

Almost surely, 2^493510680 is an apocalyptic number.

493510680 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 493510680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914593680).

493510680 is an abundant number, since it is smaller than the sum of its proper divisors (1335676680).

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

493510680 is a wasteful number, since it uses less digits than its factorization.

493510680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6250 (or 6243 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 493510680 is about 22215.1002698615. The cubic root of 493510680 is about 790.2518451447.

The spelling of 493510680 in words is "four hundred ninety-three million, five hundred ten thousand, six hundred eighty".