481991952 has 80 divisors (see below), whose sum is σ = 1350816320. Its totient is φ = 147211776.

The previous prime is 481991929. The next prime is 481991953. The reversal of 481991952 is 259199184.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (481991953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83958 + ... + 89514.

It is an arithmetic number, because the mean of its divisors is an integer number (16885204).

Almost surely, 2^481991952 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 481991952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675408160).

481991952 is an abundant number, since it is smaller than the sum of its proper divisors (868824368).

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

481991952 is a wasteful number, since it uses less digits than its factorization.

481991952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5720 (or 5714 counting only the distinct ones).

The product of its digits is 233280, while the sum is 48.

The square root of 481991952 is about 21954.3151111575. The cubic root of 481991952 is about 784.0551207254.

The spelling of 481991952 in words is "four hundred eighty-one million, nine hundred ninety-one thousand, nine hundred fifty-two".