493322400 has 360 divisors, whose sum is σ = 1882941984. Its totient is φ = 125452800.

The previous prime is 493322383. The next prime is 493322419. The reversal of 493322400 is 4223394.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1490235 + ... + 1490565.

Almost surely, 2^493322400 is an apocalyptic number.

493322400 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 493322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941470992).

493322400 is an abundant number, since it is smaller than the sum of its proper divisors (1389619584).

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

493322400 is a wasteful number, since it uses less digits than its factorization.

493322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 493322400 is about 22210.8622074876. The cubic root of 493322400 is about 790.1513356394.

Adding to 493322400 its reverse (4223394), we get a palindrome (497545794).

The spelling of 493322400 in words is "four hundred ninety-three million, three hundred twenty-two thousand, four hundred".