462056 has 32 divisors (see below), whose sum is σ = 1021440. Its totient is φ = 191808.

The previous prime is 462041. The next prime is 462067. The reversal of 462056 is 650264.

462056 = 1² + 2² + ... + 111².

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, 1961 + ... + 2183.

It is an arithmetic number, because the mean of its divisors is an integer number (31920).

2⁴⁶²⁰⁵⁶ 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 462056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510720).

462056 is an abundant number, since it is smaller than the sum of its proper divisors (559384).

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

462056 is a wasteful number, since it uses less digits than its factorization.

462056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 462056 is about 679.7470117625. The cubic root of 462056 is about 77.3092638794.

The spelling of 462056 in words is "four hundred sixty-two thousand, fifty-six".