493891200 has 288 divisors, whose sum is σ = 1923760800. Its totient is φ = 119654400.

The previous prime is 493891193. The next prime is 493891201. The reversal of 493891200 is 2198394.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (493891201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 316021 + ... + 317579.

It is an arithmetic number, because the mean of its divisors is an integer number (6679725).

Almost surely, 2^493891200 is an apocalyptic number.

493891200 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 493891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961880400).

493891200 is an abundant number, since it is smaller than the sum of its proper divisors (1429869600).

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

493891200 is a wasteful number, since it uses less digits than its factorization.

493891200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 493891200 is about 22223.6630644005. The cubic root of 493891200 is about 790.4549001079.

The spelling of 493891200 in words is "four hundred ninety-three million, eight hundred ninety-one thousand, two hundred".