493038624 has 144 divisors (see below), whose sum is σ = 1481675328. Its totient is φ = 142675968.

The previous prime is 493038617. The next prime is 493038629. The reversal of 493038624 is 426830394.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (493038629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 359989 + ... + 361355.

It is an arithmetic number, because the mean of its divisors is an integer number (10289412).

Almost surely, 2^493038624 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 493038624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740837664).

493038624 is an abundant number, since it is smaller than the sum of its proper divisors (988636704).

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

493038624 is a wasteful number, since it uses less digits than its factorization.

493038624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 493038624 is about 22204.4730628763. The cubic root of 493038624 is about 789.9997991774. Note that the first 3 decimals are identical.

The spelling of 493038624 in words is "four hundred ninety-three million, thirty-eight thousand, six hundred twenty-four".