493848000 has 336 divisors, whose sum is σ = 1864705440. Its totient is φ = 124761600.

The previous prime is 493847999. The next prime is 493848001. The reversal of 493848000 is 848394.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (493847999) and next prime (493848001).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493848001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25991991 + ... + 25992009.

Almost surely, 2^493848000 is an apocalyptic number.

493848000 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 493848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932352720).

493848000 is an abundant number, since it is smaller than the sum of its proper divisors (1370857440).

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

493848000 is an equidigital number, since it uses as much as digits as its factorization.

493848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 493848000 is about 22222.6911061644. The cubic root of 493848000 is about 790.4318527597.

The spelling of 493848000 in words is "four hundred ninety-three million, eight hundred forty-eight thousand".