493858080 has 96 divisors (see below), whose sum is σ = 1728518400. Its totient is φ = 131694336.

The previous prime is 493858073. The next prime is 493858091. The reversal of 493858080 is 80858394.

493858080 is a `hidden beast` number, since 493 + 8 + 5 + 80 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52840 + ... + 61479.

It is an arithmetic number, because the mean of its divisors is an integer number (18005400).

Almost surely, 2^493858080 is an apocalyptic number.

493858080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

493858080 is an abundant number, since it is smaller than the sum of its proper divisors (1234660320).

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

493858080 is a wasteful number, since it uses less digits than its factorization.

493858080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114343 (or 114329 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 493858080 is about 22222.9179002218. The cubic root of 493858080 is about 790.4372305945.

The spelling of 493858080 in words is "four hundred ninety-three million, eight hundred fifty-eight thousand, eighty".