493050000 has 240 divisors, whose sum is σ = 1685517120. Its totient is φ = 123840000.

The previous prime is 493049993. The next prime is 493050013. The reversal of 493050000 is 50394.

493050000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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, 2849914 + ... + 2850086.

It is an arithmetic number, because the mean of its divisors is an integer number (7022988).

Almost surely, 2^493050000 is an apocalyptic number.

493050000 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 493050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842758560).

493050000 is an abundant number, since it is smaller than the sum of its proper divisors (1192467120).

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

493050000 is a wasteful number, since it uses less digits than its factorization.

493050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 493050000 is about 22204.7292260005. The cubic root of 493050000 is about 790.0058750832.

The spelling of 493050000 in words is "four hundred ninety-three million, fifty thousand".