481626340 has 96 divisors (see below), whose sum is σ = 1116753120. Its totient is φ = 174440448.

The previous prime is 481626311. The next prime is 481626361. The reversal of 481626340 is 43626184.

481626340 = 2690² + 2691² + ... + 2754².

It can be written as a sum of positive squares in 16 ways, for example, as 458045604 + 23580736 = 21402^2 + 4856^2 .

It is a junction number, because it is equal to n+sod(n) for n = 481626296 and 481626305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4262124 + ... + 4262236.

It is an arithmetic number, because the mean of its divisors is an integer number (11632845).

Almost surely, 2^481626340 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 481626340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558376560).

481626340 is an abundant number, since it is smaller than the sum of its proper divisors (635126780).

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

481626340 is a wasteful number, since it uses less digits than its factorization.

481626340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 481626340 is about 21945.9868768757. The cubic root of 481626340 is about 783.8568238648.

The spelling of 481626340 in words is "four hundred eighty-one million, six hundred twenty-six thousand, three hundred forty".