493007592 has 192 divisors, whose sum is σ = 1623974400. Its totient is φ = 121150080.

The previous prime is 493007561. The next prime is 493007597. The reversal of 493007592 is 295700394.

It is a self number, because there is not a number n which added to its sum of digits gives 493007592.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493007597) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 666759 + ... + 667497.

It is an arithmetic number, because the mean of its divisors is an integer number (8458200).

Almost surely, 2^493007592 is an apocalyptic number.

493007592 is a gapful number since it is divisible by the number (42) 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 493007592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811987200).

493007592 is an abundant number, since it is smaller than the sum of its proper divisors (1130966808).

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

493007592 is a wasteful number, since it uses less digits than its factorization.

493007592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 493007592 is about 22203.7742737581. The cubic root of 493007592 is about 789.9832245543.

The spelling of 493007592 in words is "four hundred ninety-three million, seven thousand, five hundred ninety-two".