480404652 has 96 divisors (see below), whose sum is σ = 1385083392. Its totient is φ = 126199296.

The previous prime is 480404651. The next prime is 480404653. The reversal of 480404652 is 256404084.

It is an interprime number because it is at equal distance from previous prime (480404651) and next prime (480404653).

It is a super-2 number, since 2×480404652² = 461577259326482208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (480404651) 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 31 ways as a sum of consecutive naturals, for example, 334528 + ... + 335960.

It is an arithmetic number, because the mean of its divisors is an integer number (14427952).

Almost surely, 2^480404652 is an apocalyptic number.

480404652 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480404652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692541696).

480404652 is an abundant number, since it is smaller than the sum of its proper divisors (904678740).

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

480404652 is a wasteful number, since it uses less digits than its factorization.

480404652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 480404652 is about 21918.1352308995. The cubic root of 480404652 is about 783.1934885209.

The spelling of 480404652 in words is "four hundred eighty million, four hundred four thousand, six hundred fifty-two".