481505752 has 96 divisors (see below), whose sum is σ = 1190775600. Its totient is φ = 180423936.

The previous prime is 481505743. The next prime is 481505777. The reversal of 481505752 is 257505184.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94338 + ... + 99310.

Almost surely, 2^481505752 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 481505752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595387800).

481505752 is an abundant number, since it is smaller than the sum of its proper divisors (709269848).

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

481505752 is a wasteful number, since it uses less digits than its factorization.

481505752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5025 (or 5014 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 37.

The square root of 481505752 is about 21943.2393233087. The cubic root of 481505752 is about 783.7913985833.

The spelling of 481505752 in words is "four hundred eighty-one million, five hundred five thousand, seven hundred fifty-two".