493948560 has 160 divisors (see below), whose sum is σ = 1758101760. Its totient is φ = 112379904.

The previous prime is 493948501. The next prime is 493948573. The reversal of 493948560 is 65849394.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 451374 + ... + 452466.

It is an arithmetic number, because the mean of its divisors is an integer number (10988136).

Almost surely, 2^493948560 is an apocalyptic number.

493948560 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 493948560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879050880).

493948560 is an abundant number, since it is smaller than the sum of its proper divisors (1264153200).

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

493948560 is a wasteful number, since it uses less digits than its factorization.

493948560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 493948560 is about 22224.9535432585. The cubic root of 493948560 is about 790.4854997878.

The spelling of 493948560 in words is "four hundred ninety-three million, nine hundred forty-eight thousand, five hundred sixty".