492576 has 48 divisors (see below), whose sum is σ = 1479744. Its totient is φ = 140544.

The previous prime is 492563. The next prime is 492587. The reversal of 492576 is 675294.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×492576² = 485262231552, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 14.

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, 306 + ... + 1038.

It is an arithmetic number, because the mean of its divisors is an integer number (30828).

2⁴⁹²⁵⁷⁶ 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 492576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739872).

492576 is an abundant number, since it is smaller than the sum of its proper divisors (987168).

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

492576 is a wasteful number, since it uses less digits than its factorization.

492576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 745 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 492576 is about 701.8375880501. The cubic root of 492576 is about 78.9752633122.

The spelling of 492576 in words is "four hundred ninety-two thousand, five hundred seventy-six".