493696080 has 320 divisors, whose sum is σ = 1797027840. Its totient is φ = 124416000.

The previous prime is 493696067. The next prime is 493696103. The reversal of 493696080 is 80696394.

493696080 is a `hidden beast` number, since 4 + 9 + 36 + 9 + 608 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4888030 + ... + 4888130.

It is an arithmetic number, because the mean of its divisors is an integer number (5615712).

Almost surely, 2^493696080 is an apocalyptic number.

493696080 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 493696080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898513920).

493696080 is an abundant number, since it is smaller than the sum of its proper divisors (1303331760).

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

493696080 is a wasteful number, since it uses less digits than its factorization.

493696080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 493696080 is about 22219.2727153703. The cubic root of 493696080 is about 790.3507922427.

The spelling of 493696080 in words is "four hundred ninety-three million, six hundred ninety-six thousand, eighty".