481281696 has 384 divisors, whose sum is σ = 1765048320. Its totient is φ = 124416000.

The previous prime is 481281653. The next prime is 481281721. The reversal of 481281696 is 696182184.

481281696 is a `hidden beast` number, since 481 + 2 + 8 + 169 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3187221 + ... + 3187371.

It is an arithmetic number, because the mean of its divisors is an integer number (4596480).

Almost surely, 2^481281696 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 481281696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882524160).

481281696 is an abundant number, since it is smaller than the sum of its proper divisors (1283766624).

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

481281696 is a wasteful number, since it uses less digits than its factorization.

481281696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 211 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 481281696 is about 21938.1333754720. The cubic root of 481281696 is about 783.6698075044.

The spelling of 481281696 in words is "four hundred eighty-one million, two hundred eighty-one thousand, six hundred ninety-six".