493106400 has 288 divisors, whose sum is σ = 1834570080. Its totient is φ = 127733760.

The previous prime is 493106357. The next prime is 493106441. The reversal of 493106400 is 4601394.

493106400 is a `hidden beast` number, since 4 + 9 + 3 + 10 + 640 + 0 = 666.

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 (27).

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, 798892 + ... + 799508.

It is an arithmetic number, because the mean of its divisors is an integer number (6370035).

Almost surely, 2^493106400 is an apocalyptic number.

493106400 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 493106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917285040).

493106400 is an abundant number, since it is smaller than the sum of its proper divisors (1341463680).

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

493106400 is a wasteful number, since it uses less digits than its factorization.

493106400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 493106400 is about 22205.9991894083. Note that the first 3 decimals coincide. The cubic root of 493106400 is about 790.0359968643.

Adding to 493106400 its reverse (4601394), we get a palindrome (497707794).

The spelling of 493106400 in words is "four hundred ninety-three million, one hundred six thousand, four hundred".