481741632 has 84 divisors (see below), whose sum is σ = 1393675140. Its totient is φ = 159086592.

The previous prime is 481741621. The next prime is 481741651. The reversal of 481741632 is 236147184.

481741632 is a `hidden beast` number, since 4 + 8 + 17 + 4 + 1 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 320553216 + 161188416 = 17904^2 + 12696^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58948 + ... + 66620.

Almost surely, 2^481741632 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 481741632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696837570).

481741632 is an abundant number, since it is smaller than the sum of its proper divisors (911933508).

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

481741632 is a wasteful number, since it uses less digits than its factorization.

481741632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7800 (or 7787 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 481741632 is about 21948.6134413999. The cubic root of 481741632 is about 783.9193655790.

The spelling of 481741632 in words is "four hundred eighty-one million, seven hundred forty-one thousand, six hundred thirty-two".