493511940 has 180 divisors, whose sum is σ = 1604763468. Its totient is φ = 126956160.

The previous prime is 493511939. The next prime is 493511959. The reversal of 493511940 is 49115394.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 89984196 + 403527744 = 9486^2 + 20088^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 493511895 and 493511904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1556662 + ... + 1556978.

Almost surely, 2^493511940 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 493511940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802381734).

493511940 is an abundant number, since it is smaller than the sum of its proper divisors (1111251528).

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

493511940 is a wasteful number, since it uses less digits than its factorization.

493511940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 493511940 is about 22215.1286289321. The cubic root of 493511940 is about 790.2525176844.

The spelling of 493511940 in words is "four hundred ninety-three million, five hundred eleven thousand, nine hundred forty".