493079904 has 72 divisors (see below), whose sum is σ = 1405148472. Its totient is φ = 164014080.

The previous prime is 493079903. The next prime is 493079927. The reversal of 493079904 is 409970394.

493079904 is a `hidden beast` number, since 493 + 0 + 79 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-4 number, since 4×493079904⁴ (a number of 36 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 493079904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493079903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 160624 + ... + 163664.

It is an arithmetic number, because the mean of its divisors is an integer number (19515951).

Almost surely, 2^493079904 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 493079904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702574236).

493079904 is an abundant number, since it is smaller than the sum of its proper divisors (912068568).

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

493079904 is a wasteful number, since it uses less digits than its factorization.

493079904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3620 (or 3609 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 493079904 is about 22205.4025858573. The cubic root of 493079904 is about 790.0218463221.

The spelling of 493079904 in words is "four hundred ninety-three million, seventy-nine thousand, nine hundred four".