493719408 has 320 divisors, whose sum is σ = 1838771200. Its totient is φ = 123171840.

The previous prime is 493719407. The next prime is 493719419. The reversal of 493719408 is 804917394.

493719408 is a `hidden beast` number, since 493 + 71 + 94 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493719407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 746598 + ... + 747258.

It is an arithmetic number, because the mean of its divisors is an integer number (5746160).

Almost surely, 2^493719408 is an apocalyptic number.

493719408 is a gapful number since it is divisible by the number (48) 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 493719408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919385600).

493719408 is an abundant number, since it is smaller than the sum of its proper divisors (1345051792).

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

493719408 is a wasteful number, since it uses less digits than its factorization.

493719408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 493719408 is about 22219.7976588447. The cubic root of 493719408 is about 790.3632405307.

The spelling of 493719408 in words is "four hundred ninety-three million, seven hundred nineteen thousand, four hundred eight".