493688640 has 224 divisors, whose sum is σ = 1653820416. Its totient is φ = 124600320.

The previous prime is 493688621. The next prime is 493688681. The reversal of 493688640 is 46886394.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 493688640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1577124 + ... + 1577436.

Almost surely, 2^493688640 is an apocalyptic number.

493688640 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 493688640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826910208).

493688640 is an abundant number, since it is smaller than the sum of its proper divisors (1160131776).

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

493688640 is a wasteful number, since it uses less digits than its factorization.

493688640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 493688640 is about 22219.1052925180. The cubic root of 493688640 is about 790.3468220272.

The spelling of 493688640 in words is "four hundred ninety-three million, six hundred eighty-eight thousand, six hundred forty".