493421760 has 448 divisors, whose sum is σ = 1966325760. Its totient is φ = 115568640.

The previous prime is 493421743. The next prime is 493421807. The reversal of 493421760 is 67124394.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2583265 + ... + 2583455.

It is an arithmetic number, because the mean of its divisors is an integer number (4389120).

Almost surely, 2^493421760 is an apocalyptic number.

493421760 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 493421760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983162880).

493421760 is an abundant number, since it is smaller than the sum of its proper divisors (1472904000).

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

493421760 is a wasteful number, since it uses less digits than its factorization.

493421760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 493421760 is about 22213.0988382981. The cubic root of 493421760 is about 790.2043801707.

The spelling of 493421760 in words is "four hundred ninety-three million, four hundred twenty-one thousand, seven hundred sixty".