480205440 has 576 divisors, whose sum is σ = 1999899720. Its totient is φ = 105431040.

The previous prime is 480205421. The next prime is 480205441. The reversal of 480205440 is 44502084.

It can be written as a sum of positive squares in 4 ways, for example, as 351337536 + 128867904 = 18744^2 + 11352^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (480205441) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9060454 + ... + 9060506.

Almost surely, 2^480205440 is an apocalyptic number.

480205440 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 480205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999949860).

480205440 is an abundant number, since it is smaller than the sum of its proper divisors (1519694280).

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

480205440 is a wasteful number, since it uses less digits than its factorization.

480205440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 480205440 is about 21913.5903037362. The cubic root of 480205440 is about 783.0852165245.

The spelling of 480205440 in words is "four hundred eighty million, two hundred five thousand, four hundred forty".