493900 has 36 divisors (see below), whose sum is σ = 1171800. Its totient is φ = 179200.

The previous prime is 493897. The next prime is 493919. The reversal of 493900 is 9394.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 876 + ... + 1324.

It is an arithmetic number, because the mean of its divisors is an integer number (32550).

2⁴⁹³⁹⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585900).

493900 is an abundant number, since it is smaller than the sum of its proper divisors (677900).

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

493900 is a wasteful number, since it uses less digits than its factorization.

493900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 493900 is about 702.7801932326. The cubic root of 493900 is about 79.0459594773.

The spelling of 493900 in words is "four hundred ninety-three thousand, nine hundred".