481656 has 64 divisors (see below), whose sum is σ = 1428480. Its totient is φ = 132480.

The previous prime is 481651. The next prime is 481667. The reversal of 481656 is 656184.

481656 = T₃₄₃ + T₃₄₄ + ... + T₃₅₀.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (5760) is a multiple of the sum of its prime divisors (120).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481651) by changing a digit.

481656 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7866 + ... + 7926.

It is an arithmetic number, because the mean of its divisors is an integer number (22320).

2⁴⁸¹⁶⁵⁶ 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 481656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714240).

481656 is an abundant number, since it is smaller than the sum of its proper divisors (946824).

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

481656 is a wasteful number, since it uses less digits than its factorization.

481656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 120 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 481656 is about 694.0144090723. The cubic root of 481656 is about 78.3872914289.

The spelling of 481656 in words is "four hundred eighty-one thousand, six hundred fifty-six".