493456000 has 64 divisors (see below), whose sum is σ = 1226894760. Its totient is φ = 197376000.

The previous prime is 493455997. The next prime is 493456037. The reversal of 493456000 is 654394.

It can be written as a sum of positive squares in 4 ways, for example, as 222129216 + 271326784 = 14904^2 + 16472^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 580 + ... + 31420.

Almost surely, 2^493456000 is an apocalyptic number.

493456000 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 493456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613447380).

493456000 is an abundant number, since it is smaller than the sum of its proper divisors (733438760).

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

493456000 is an equidigital number, since it uses as much as digits as its factorization.

493456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30870 (or 30848 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 493456000 is about 22213.8695413474. The cubic root of 493456000 is about 790.2226579568. Note that the first 3 decimals are identical.

The spelling of 493456000 in words is "four hundred ninety-three million, four hundred fifty-six thousand".