481758072 has 64 divisors (see below), whose sum is σ = 1270675200. Its totient is φ = 151787520.

The previous prime is 481758071. The next prime is 481758103. The reversal of 481758072 is 270857184.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481758071) 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, 262197 + ... + 264027.

It is an arithmetic number, because the mean of its divisors is an integer number (19854300).

Almost surely, 2^481758072 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 481758072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635337600).

481758072 is an abundant number, since it is smaller than the sum of its proper divisors (788917128).

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

481758072 is a wasteful number, since it uses less digits than its factorization.

481758072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2436 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 42.

The square root of 481758072 is about 21948.9879493338. The cubic root of 481758072 is about 783.9282828678.

The spelling of 481758072 in words is "four hundred eighty-one million, seven hundred fifty-eight thousand, seventy-two".