493534080 has 320 divisors, whose sum is σ = 1893589200. Its totient is φ = 121485312.

The previous prime is 493534061. The next prime is 493534117. The reversal of 493534080 is 80435394.

493534080 is a `hidden beast` number, since 49 + 3 + 534 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 39 ways as a sum of consecutive naturals, for example, 37964154 + ... + 37964166.

Almost surely, 2^493534080 is an apocalyptic number.

493534080 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 493534080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946794600).

493534080 is an abundant number, since it is smaller than the sum of its proper divisors (1400055120).

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

493534080 is an frugal number, since it uses more digits than its factorization.

493534080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 493534080 is about 22215.6269324095. The cubic root of 493534080 is about 790.2643349797.

The spelling of 493534080 in words is "four hundred ninety-three million, five hundred thirty-four thousand, eighty".