493744896 has 108 divisors (see below), whose sum is σ = 1476499752. Its totient is φ = 164560896.

The previous prime is 493744883. The next prime is 493744897. The reversal of 493744896 is 698447394.

It is a happy number.

493744896 is a `hidden beast` number, since 4 + 93 + 74 + 489 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (493744897) 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, 58240 + ... + 66176.

It is an arithmetic number, because the mean of its divisors is an integer number (13671294).

Almost surely, 2^493744896 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 493744896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738249876).

493744896 is an abundant number, since it is smaller than the sum of its proper divisors (982754856).

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

493744896 is an frugal number, since it uses more digits than its factorization.

493744896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7968 (or 7942 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 493744896 is about 22220.3711940192. The cubic root of 493744896 is about 790.3768409896.

The spelling of 493744896 in words is "four hundred ninety-three million, seven hundred forty-four thousand, eight hundred ninety-six".