493124688 has 240 divisors, whose sum is σ = 1670496256. Its totient is φ = 132814080.

The previous prime is 493124677. The next prime is 493124699. The reversal of 493124688 is 886421394.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (493124677) and next prime (493124699).

It is a nude number because it is divisible by every one of its digits.

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, 1343481 + ... + 1343847.

Almost surely, 2^493124688 is an apocalyptic number.

493124688 is a gapful number since it is divisible by the number (48) 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 493124688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835248128).

493124688 is an abundant number, since it is smaller than the sum of its proper divisors (1177371568).

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

493124688 is a wasteful number, since it uses less digits than its factorization.

493124688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 453 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 493124688 is about 22206.4109662052. The cubic root of 493124688 is about 790.0457635189.

The spelling of 493124688 in words is "four hundred ninety-three million, one hundred twenty-four thousand, six hundred eighty-eight".