493555104 has 144 divisors (see below), whose sum is σ = 1616666688. Its totient is φ = 139908096.

The previous prime is 493555079. The next prime is 493555121. The reversal of 493555104 is 401555394.

493555104 is a `hidden beast` number, since 4 + 93 + 55 + 510 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275299 + ... + 277085.

It is an arithmetic number, because the mean of its divisors is an integer number (11226852).

Almost surely, 2^493555104 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 493555104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808333344).

493555104 is an abundant number, since it is smaller than the sum of its proper divisors (1123111584).

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

493555104 is a wasteful number, since it uses less digits than its factorization.

493555104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 493555104 is about 22216.1001078047. The cubic root of 493555104 is about 790.2755562794.

The spelling of 493555104 in words is "four hundred ninety-three million, five hundred fifty-five thousand, one hundred four".