493328400 has 240 divisors, whose sum is σ = 1668726528. Its totient is φ = 124416000.

The previous prime is 493328393. The next prime is 493328417. The reversal of 493328400 is 4823394.

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

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 47 ways as a sum of consecutive naturals, for example, 1820265 + ... + 1820535.

Almost surely, 2^493328400 is an apocalyptic number.

493328400 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 493328400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834363264).

493328400 is an abundant number, since it is smaller than the sum of its proper divisors (1175398128).

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

493328400 is a wasteful number, since it uses less digits than its factorization.

493328400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 493328400 is about 22210.9972761243. The cubic root of 493328400 is about 790.1545390136.

It can be divided in two parts, 4933 and 28400, that added together give a palindrome (33333).

The spelling of 493328400 in words is "four hundred ninety-three million, three hundred twenty-eight thousand, four hundred".