490752 has 72 divisors (see below), whose sum is σ = 1471680. Its totient is φ = 161280.

The previous prime is 490741. The next prime is 490769. The reversal of 490752 is 257094.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6877 + ... + 6947.

It is an arithmetic number, because the mean of its divisors is an integer number (20440).

2⁴⁹⁰⁷⁵² 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 490752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735840).

490752 is an abundant number, since it is smaller than the sum of its proper divisors (980928).

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

490752 is an equidigital number, since it uses as much as digits as its factorization.

490752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 490752 is about 700.5369369277. The cubic root of 490752 is about 78.8776614173.

The spelling of 490752 in words is "four hundred ninety thousand, seven hundred fifty-two".