480543440 has 160 divisors (see below), whose sum is σ = 1286167680. Its totient is φ = 165500928.

The previous prime is 480543391. The next prime is 480543443. The reversal of 480543440 is 44345084.

It is a super-4 number, since 4×480543440⁴ (a number of 36 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 480543397 and 480543406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480543443) 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 31 ways as a sum of consecutive naturals, for example, 1639934 + ... + 1640226.

It is an arithmetic number, because the mean of its divisors is an integer number (8038548).

Almost surely, 2^480543440 is an apocalyptic number.

480543440 is a gapful number since it is divisible by the number (40) 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 480543440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643083840).

480543440 is an abundant number, since it is smaller than the sum of its proper divisors (805624240).

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

480543440 is a wasteful number, since it uses less digits than its factorization.

480543440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The square root of 480543440 is about 21921.3010562786. The cubic root of 480543440 is about 783.2689023008.

The spelling of 480543440 in words is "four hundred eighty million, five hundred forty-three thousand, four hundred forty".