493536384 has 384 divisors, whose sum is σ = 1718496000. Its totient is φ = 134184960.

The previous prime is 493536361. The next prime is 493536391. The reversal of 493536384 is 483635394.

493536384 is a `hidden beast` number, since 4 + 9 + 3 + 5 + 3 + 638 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6247257 + ... + 6247335.

It is an arithmetic number, because the mean of its divisors is an integer number (4475250).

Almost surely, 2^493536384 is an apocalyptic number.

493536384 is a gapful number since it is divisible by the number (44) 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 493536384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859248000).

493536384 is an abundant number, since it is smaller than the sum of its proper divisors (1224959616).

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

493536384 is a wasteful number, since it uses less digits than its factorization.

493536384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 141 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 493536384 is about 22215.6787877391. The cubic root of 493536384 is about 790.2655647268.

The spelling of 493536384 in words is "four hundred ninety-three million, five hundred thirty-six thousand, three hundred eighty-four".