493391952 has 240 divisors, whose sum is σ = 1579898880. Its totient is φ = 146893824.

The previous prime is 493391917. The next prime is 493391963. The reversal of 493391952 is 259193394.

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 junction number, because it is equal to n+sod(n) for n = 493391898 and 493391907.

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 47 ways as a sum of consecutive naturals, for example, 3884913 + ... + 3885039.

It is an arithmetic number, because the mean of its divisors is an integer number (6582912).

Almost surely, 2^493391952 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 493391952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789949440).

493391952 is an abundant number, since it is smaller than the sum of its proper divisors (1086506928).

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

493391952 is a wasteful number, since it uses less digits than its factorization.

493391952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 172 counting only the distinct ones).

The product of its digits is 262440, while the sum is 45.

The square root of 493391952 is about 22212.4278727023. The cubic root of 493391952 is about 790.1884675591.

The spelling of 493391952 in words is "four hundred ninety-three million, three hundred ninety-one thousand, nine hundred fifty-two".