481635 has 48 divisors (see below), whose sum is σ = 1048320. Its totient is φ = 198720.

The previous prime is 481633. The next prime is 481639. The reversal of 481635 is 536184.

It is a Cunningham number, because it is equal to 694²-1.

It is not a de Polignac number, because 481635 - 2¹ = 481633 is a prime.

481635 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 481599 and 481608.

It is not an unprimeable number, because it can be changed into a prime (481633) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3396 + ... + 3534.

It is an arithmetic number, because the mean of its divisors is an integer number (21840).

2⁴⁸¹⁶³⁵ is an apocalyptic number.

481635 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

481635 is an abundant number, since it is smaller than the sum of its proper divisors (566685).

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

481635 is a wasteful number, since it uses less digits than its factorization.

481635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 165 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 481635 is about 693.9992795385. Note that the first 3 decimals coincide. The cubic root of 481635 is about 78.3861521946.

It can be divided in two parts, 4816 and 35, that added together give a triangular number (4851 = T₉₈).

The spelling of 481635 in words is "four hundred eighty-one thousand, six hundred thirty-five".