481854436 has 54 divisors (see below), whose sum is σ = 994837074. Its totient is φ = 203616000.

The previous prime is 481854413. The next prime is 481854437. The reversal of 481854436 is 634458184.

It can be written as a sum of positive squares in 3 ways, for example, as 386908900 + 94945536 = 19670^2 + 9744^2 .

It is a junction number, because it is equal to n+sod(n) for n = 481854392 and 481854401.

It is not an unprimeable number, because it can be changed into a prime (481854437) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1999276 + ... + 1999516.

Almost surely, 2^481854436 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 481854436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497418537).

481854436 is an abundant number, since it is smaller than the sum of its proper divisors (512982638).

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

481854436 is a wasteful number, since it uses less digits than its factorization.

481854436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 351 counting only the distinct ones).

The product of its digits is 368640, while the sum is 43.

The square root of 481854436 is about 21951.1830205117. The cubic root of 481854436 is about 783.9805479868.

The spelling of 481854436 in words is "four hundred eighty-one million, eight hundred fifty-four thousand, four hundred thirty-six".