493128000 has 280 divisors, whose sum is σ = 1826706024. Its totient is φ = 131328000.

The previous prime is 493127989. The next prime is 493128029. The reversal of 493128000 is 821394.

493128000 = 258³ + 259³ + ... + 282³.

It can be written as a sum of positive squares in 4 ways, for example, as 148060224 + 345067776 = 12168^2 + 18576^2 .

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 (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 647620 + ... + 648380.

Almost surely, 2^493128000 is an apocalyptic number.

493128000 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 493128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913353012).

493128000 is an abundant number, since it is smaller than the sum of its proper divisors (1333578024).

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

493128000 is an equidigital number, since it uses as much as digits as its factorization.

493128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 493128000 is about 22206.4855391392. The cubic root of 493128000 is about 790.0475322573.

Adding to 493128000 its reverse (821394), we get a palindrome (493949394).

The spelling of 493128000 in words is "four hundred ninety-three million, one hundred twenty-eight thousand".