493908480 has 480 divisors, whose sum is σ = 1970592624. Its totient is φ = 113246208.

The previous prime is 493908473. The next prime is 493908487. The reversal of 493908480 is 84809394.

It is a happy number.

493908480 is a `hidden beast` number, since 493 + 9 + 0 + 84 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (493908473) and next prime (493908487).

It can be written as a sum of positive squares in 8 ways, for example, as 176783616 + 317124864 = 13296^2 + 17808^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (493908487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5091792 + ... + 5091888.

Almost surely, 2^493908480 is an apocalyptic number.

493908480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493908480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985296312).

493908480 is an abundant number, since it is smaller than the sum of its proper divisors (1476684144).

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

493908480 is a wasteful number, since it uses less digits than its factorization.

493908480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 493908480 is about 22224.0518357927. The cubic root of 493908480 is about 790.4641186709.

It can be divided in two parts, 49 and 3908480, that added together give a square (3908529 = 1977²).

The spelling of 493908480 in words is "four hundred ninety-three million, nine hundred eight thousand, four hundred eighty".