493248000 has 320 divisors, whose sum is σ = 1879308288. Its totient is φ = 112435200.

The previous prime is 493247981. The next prime is 493248023. The reversal of 493248000 is 842394.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 1343817 + ... + 1344183.

Almost surely, 2^493248000 is an apocalyptic number.

493248000 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 493248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939654144).

493248000 is an abundant number, since it is smaller than the sum of its proper divisors (1386060288).

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

493248000 is an equidigital number, since it uses as much as digits as its factorization.

493248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 493248000 is about 22209.1872881472. The cubic root of 493248000 is about 790.1116116408. Note that the first 3 decimals are identical.

The spelling of 493248000 in words is "four hundred ninety-three million, two hundred forty-eight thousand".