481952772 has 144 divisors (see below), whose sum is σ = 1445283840. Its totient is φ = 132560064.

The previous prime is 481952767. The next prime is 481952773. The reversal of 481952772 is 277259184.

It is a happy number.

481952772 is a `hidden beast` number, since 48 + 19 + 527 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (481952773) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 855763 + ... + 856325.

Almost surely, 2^481952772 is an apocalyptic number.

481952772 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481952772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722641920).

481952772 is an abundant number, since it is smaller than the sum of its proper divisors (963331068).

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

481952772 is a wasteful number, since it uses less digits than its factorization.

481952772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 697 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 481952772 is about 21953.4227855248. The cubic root of 481952772 is about 784.0338754799.

The spelling of 481952772 in words is "four hundred eighty-one million, nine hundred fifty-two thousand, seven hundred seventy-two".