493515648 has 192 divisors, whose sum is σ = 1482202800. Its totient is φ = 157507584.

The previous prime is 493515643. The next prime is 493515653. The reversal of 493515648 is 846515394.

493515648 is a `hidden beast` number, since 4 + 93 + 515 + 6 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (493515643) and next prime (493515653).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×493515648³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493515643) 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, 3602236 + ... + 3602372.

Almost surely, 2^493515648 is an apocalyptic number.

493515648 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 493515648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741101400).

493515648 is an abundant number, since it is smaller than the sum of its proper divisors (988687152).

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

493515648 is a wasteful number, since it uses less digits than its factorization.

493515648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 254 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 493515648 is about 22215.2120854157. The cubic root of 493515648 is about 790.2544968658.

The spelling of 493515648 in words is "four hundred ninety-three million, five hundred fifteen thousand, six hundred forty-eight".