493953600 has 336 divisors, whose sum is σ = 1890263936. Its totient is φ = 110592000.

The previous prime is 493953571. The next prime is 493953601. The reversal of 493953600 is 6359394.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (493953601) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2049480 + ... + 2049720.

Almost surely, 2^493953600 is an apocalyptic number.

493953600 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 493953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945131968).

493953600 is an abundant number, since it is smaller than the sum of its proper divisors (1396310336).

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

493953600 is a wasteful number, since it uses less digits than its factorization.

493953600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 39.

The square root of 493953600 is about 22225.0669290331. The cubic root of 493953600 is about 790.4881883494.

The spelling of 493953600 in words is "four hundred ninety-three million, nine hundred fifty-three thousand, six hundred".