493436160 has 432 divisors, whose sum is σ = 2027975040. Its totient is φ = 108380160.

The previous prime is 493436149. The next prime is 493436191. The reversal of 493436160 is 61634394.

493436160 is a `hidden beast` number, since 4 + 9 + 34 + 3 + 616 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2338455 + ... + 2338665.

Almost surely, 2^493436160 is an apocalyptic number.

493436160 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 493436160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013987520).

493436160 is an abundant number, since it is smaller than the sum of its proper divisors (1534538880).

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

493436160 is a wasteful number, since it uses less digits than its factorization.

493436160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 493436160 is about 22213.4229690068. The cubic root of 493436160 is about 790.2120671931.

The spelling of 493436160 in words is "four hundred ninety-three million, four hundred thirty-six thousand, one hundred sixty".