480964752 has 120 divisors (see below), whose sum is σ = 1400092928. Its totient is φ = 153964800.

The previous prime is 480964751. The next prime is 480964769. The reversal of 480964752 is 257469084.

It is a happy number.

It is a super-3 number, since 3×480964752³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 480964698 and 480964707.

It is not an unprimeable number, because it can be changed into a prime (480964751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 727302 + ... + 727962.

Almost surely, 2^480964752 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 480964752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700046464).

480964752 is an abundant number, since it is smaller than the sum of its proper divisors (919128176).

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

480964752 is a wasteful number, since it uses less digits than its factorization.

480964752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 480964752 is about 21930.9085995086. The cubic root of 480964752 is about 783.4977433486.

The spelling of 480964752 in words is "four hundred eighty million, nine hundred sixty-four thousand, seven hundred fifty-two".