493871616 has 240 divisors, whose sum is σ = 1662268608. Its totient is φ = 138240000.

The previous prime is 493871563. The next prime is 493871621. The reversal of 493871616 is 616178394.

It is a happy number.

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

Its product of digits (217728) is a multiple of the sum of its prime divisors (324).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1967491 + ... + 1967741.

Almost surely, 2^493871616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493871616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831134304).

493871616 is an abundant number, since it is smaller than the sum of its proper divisors (1168396992).

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

493871616 is a wasteful number, since it uses less digits than its factorization.

493871616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 324 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 493871616 is about 22223.2224486009. Note that the first 3 decimals coincide. The cubic root of 493871616 is about 790.4444521433. Note that the first 4 decimals are identical.

The spelling of 493871616 in words is "four hundred ninety-three million, eight hundred seventy-one thousand, six hundred sixteen".