490920 has 32 divisors (see below), whose sum is σ = 1473120. Its totient is φ = 130880.

The previous prime is 490913. The next prime is 490921. The reversal of 490920 is 29094.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (490921) by changing a digit.

490920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1926 + ... + 2165.

It is an arithmetic number, because the mean of its divisors is an integer number (46035).

2⁴⁹⁰⁹²⁰ is an apocalyptic number.

490920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

490920 is an abundant number, since it is smaller than the sum of its proper divisors (982200).

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

490920 is a wasteful number, since it uses less digits than its factorization.

490920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4105 (or 4101 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 490920 is about 700.6568346916. The cubic root of 490920 is about 78.8866611669.

The spelling of 490920 in words is "four hundred ninety thousand, nine hundred twenty".