493852320 has 576 divisors, whose sum is σ = 2007742464. Its totient is φ = 109486080.

The previous prime is 493852273. The next prime is 493852369. The reversal of 493852320 is 23258394.

493852320 is a `hidden beast` number, since 49 + 385 + 232 + 0 = 666.

It is a super-2 number, since 2×493852320² = 487780227938764800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13347342 + ... + 13347378.

It is an arithmetic number, because the mean of its divisors is an integer number (3485664).

Almost surely, 2^493852320 is an apocalyptic number.

493852320 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 493852320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003871232).

493852320 is an abundant number, since it is smaller than the sum of its proper divisors (1513890144).

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

493852320 is a wasteful number, since it uses less digits than its factorization.

493852320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 493852320 is about 22222.7883039010. The cubic root of 493852320 is about 790.4341575550.

The spelling of 493852320 in words is "four hundred ninety-three million, eight hundred fifty-two thousand, three hundred twenty".