493853328 has 80 divisors (see below), whose sum is σ = 1423004160. Its totient is φ = 163983744.

The previous prime is 493853317. The next prime is 493853329. The reversal of 493853328 is 823358394.

493853328 is a `hidden beast` number, since 4 + 93 + 8 + 533 + 28 = 666.

It is a super-2 number, since 2×493853328² = 487782219153351168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (493853329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117601 + ... + 121727.

It is an arithmetic number, because the mean of its divisors is an integer number (17787552).

Almost surely, 2^493853328 is an apocalyptic number.

493853328 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 493853328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711502080).

493853328 is an abundant number, since it is smaller than the sum of its proper divisors (929150832).

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

493853328 is a wasteful number, since it uses less digits than its factorization.

493853328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4421 (or 4409 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 493853328 is about 22222.8109833117. The cubic root of 493853328 is about 790.4346953387.

The spelling of 493853328 in words is "four hundred ninety-three million, eight hundred fifty-three thousand, three hundred twenty-eight".