493459200 has 324 divisors, whose sum is σ = 1902820920. Its totient is φ = 121282560.

The previous prime is 493459199. The next prime is 493459217. The reversal of 493459200 is 2954394.

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 35 ways as a sum of consecutive naturals, for example, 748471 + ... + 749129.

Almost surely, 2^493459200 is an apocalyptic number.

493459200 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 493459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951410460).

493459200 is an abundant number, since it is smaller than the sum of its proper divisors (1409361720).

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

493459200 is a wasteful number, since it uses less digits than its factorization.

493459200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 493459200 is about 22213.9415683035. The cubic root of 493459200 is about 790.2243661179.

The spelling of 493459200 in words is "four hundred ninety-three million, four hundred fifty-nine thousand, two hundred".