493625664 has 280 divisors, whose sum is σ = 1707335168. Its totient is φ = 138101760.

The previous prime is 493625641. The next prime is 493625689. The reversal of 493625664 is 466526394.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 2213457 + ... + 2213679.

Almost surely, 2^493625664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493625664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853667584).

493625664 is an abundant number, since it is smaller than the sum of its proper divisors (1213709504).

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

493625664 is a wasteful number, since it uses less digits than its factorization.

493625664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 296 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 493625664 is about 22217.6880885478. The cubic root of 493625664 is about 790.3132144765.

The spelling of 493625664 in words is "four hundred ninety-three million, six hundred twenty-five thousand, six hundred sixty-four".