491952 has 40 divisors (see below), whose sum is σ = 1309936. Its totient is φ = 158976.

The previous prime is 491951. The next prime is 491969. The reversal of 491952 is 259194.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (491951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1638 + ... + 1914.

2⁴⁹¹⁹⁵² 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 491952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654968).

491952 is an abundant number, since it is smaller than the sum of its proper divisors (817984).

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

491952 is a wasteful number, since it uses less digits than its factorization.

491952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 319 counting only the distinct ones).

The product of its digits is 3240, while the sum is 30.

The square root of 491952 is about 701.3928998785. The cubic root of 491952 is about 78.9419003464.

The spelling of 491952 in words is "four hundred ninety-one thousand, nine hundred fifty-two".