493807104 has 300 divisors, whose sum is σ = 1721573964. Its totient is φ = 141087744.

The previous prime is 493807073. The next prime is 493807123. The reversal of 493807104 is 401708394.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 70543869 + ... + 70543875.

Almost surely, 2^493807104 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 493807104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860786982).

493807104 is an abundant number, since it is smaller than the sum of its proper divisors (1227766860).

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

493807104 is an frugal number, since it uses more digits than its factorization.

493807104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 493807104 is about 22221.7709465290. The cubic root of 493807104 is about 790.4100333650.

The spelling of 493807104 in words is "four hundred ninety-three million, eight hundred seven thousand, one hundred four".