493640406 has 144 divisors (see below), whose sum is σ = 1359408960. Its totient is φ = 133494480.

The previous prime is 493640383. The next prime is 493640419. The reversal of 493640406 is 604046394.

493640406 is a `hidden beast` number, since 4 + 9 + 3 + 640 + 4 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 451921 + ... + 453011.

It is an arithmetic number, because the mean of its divisors is an integer number (9440340).

Almost surely, 2^493640406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493640406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679704480).

493640406 is an abundant number, since it is smaller than the sum of its proper divisors (865768554).

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

493640406 is a wasteful number, since it uses less digits than its factorization.

493640406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 493640406 is about 22218.0198487624. The cubic root of 493640406 is about 790.3210818967.

The spelling of 493640406 in words is "four hundred ninety-three million, six hundred forty thousand, four hundred six".