493164000 has 576 divisors, whose sum is σ = 2125992960. Its totient is φ = 105753600.

The previous prime is 493163977. The next prime is 493164011. The reversal of 493164000 is 461394.

It is a congruent number.

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, 4787949 + ... + 4788051.

It is an arithmetic number, because the mean of its divisors is an integer number (3690960).

Almost surely, 2^493164000 is an apocalyptic number.

493164000 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 493164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062996480).

493164000 is an abundant number, since it is smaller than the sum of its proper divisors (1632828960).

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

493164000 is a wasteful number, since it uses less digits than its factorization.

493164000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 493164000 is about 22207.2960983547. The cubic root of 493164000 is about 790.0667571638.

The spelling of 493164000 in words is "four hundred ninety-three million, one hundred sixty-four thousand".