480531744 has 384 divisors, whose sum is σ = 1811496960. Its totient is φ = 120268800.

The previous prime is 480531739. The next prime is 480531749. The reversal of 480531744 is 447135084.

480531744 is a `hidden beast` number, since 4 + 80 + 531 + 7 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (480531739) and next prime (480531749).

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

It is a junction number, because it is equal to n+sod(n) for n = 480531699 and 480531708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480531749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2062252 + ... + 2062484.

It is an arithmetic number, because the mean of its divisors is an integer number (4717440).

Almost surely, 2^480531744 is an apocalyptic number.

480531744 is a gapful number since it is divisible by the number (44) 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 480531744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905748480).

480531744 is an abundant number, since it is smaller than the sum of its proper divisors (1330965216).

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

480531744 is a wasteful number, since it uses less digits than its factorization.

480531744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 480531744 is about 21921.0342821683. The cubic root of 480531744 is about 783.2625475597.

The spelling of 480531744 in words is "four hundred eighty million, five hundred thirty-one thousand, seven hundred forty-four".