493728400 has 135 divisors (see below), whose sum is σ = 1316857339. Its totient is φ = 177760000.

The previous prime is 493728397. The next prime is 493728439. The reversal of 493728400 is 4827394.

It is a happy number.

The square root of 493728400 is 22220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 91164304 + 402564096 = 9548^2 + 20064^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 493728400.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4888350 + ... + 4888450.

Almost surely, 2^493728400 is an apocalyptic number.

493728400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

493728400 is the 22220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493728400

493728400 is an abundant number, since it is smaller than the sum of its proper divisors (823128939).

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

493728400 is a wasteful number, since it uses less digits than its factorization.

493728400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The cubic root of 493728400 is about 790.3680387372.

The spelling of 493728400 in words is "four hundred ninety-three million, seven hundred twenty-eight thousand, four hundred".