493920 has 144 divisors (see below), whose sum is σ = 1965600. Its totient is φ = 112896.

The previous prime is 493919. The next prime is 493931. The reversal of 493920 is 29394.

493920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70557 + ... + 70563.

It is an arithmetic number, because the mean of its divisors is an integer number (13650).

2⁴⁹³⁹²⁰ is an apocalyptic number.

493920 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 493920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982800).

493920 is an abundant number, since it is smaller than the sum of its proper divisors (1471680).

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

493920 is a wasteful number, since it uses less digits than its factorization.

493920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 493920 is about 702.7944222886. The cubic root of 493920 is about 79.0470264260.

It can be divided in two parts, 49 and 3920, that added together give a square (3969 = 63²).

The spelling of 493920 in words is "four hundred ninety-three thousand, nine hundred twenty".