493426080 has 576 divisors, whose sum is σ = 2091398400. Its totient is φ = 109734912.

The previous prime is 493426013. The next prime is 493426081. The reversal of 493426080 is 80624394.

It is a happy number.

493426080 is a `hidden beast` number, since 4 + 9 + 3 + 42 + 608 + 0 = 666.

It is a super-3 number, since 3×493426080³ (a number of 27 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (493426081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13335822 + ... + 13335858.

It is an arithmetic number, because the mean of its divisors is an integer number (3630900).

Almost surely, 2^493426080 is an apocalyptic number.

493426080 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 493426080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045699200).

493426080 is an abundant number, since it is smaller than the sum of its proper divisors (1597972320).

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

493426080 is an equidigital number, since it uses as much as digits as its factorization.

493426080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 493426080 is about 22213.1960780073. The cubic root of 493426080 is about 790.2066862931.

The spelling of 493426080 in words is "four hundred ninety-three million, four hundred twenty-six thousand, eighty".