480747132 has 72 divisors (see below), whose sum is σ = 1267640192. Its totient is φ = 153446400.

The previous prime is 480747119. The next prime is 480747133. The reversal of 480747132 is 231747084.

It is a happy number.

480747132 is a `hidden beast` number, since 480 + 7 + 47 + 132 = 666.

It is a super-3 number, since 3×480747132³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480747133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106032 + ... + 110472.

Almost surely, 2^480747132 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 480747132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633820096).

480747132 is an abundant number, since it is smaller than the sum of its proper divisors (786893060).

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

480747132 is a wasteful number, since it uses less digits than its factorization.

480747132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4579 (or 4574 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 480747132 is about 21925.9465474127. The cubic root of 480747132 is about 783.3795569323.

The spelling of 480747132 in words is "four hundred eighty million, seven hundred forty-seven thousand, one hundred thirty-two".