480595540 has 48 divisors (see below), whose sum is σ = 1048723200. Its totient is φ = 184779392.

The previous prime is 480595523. The next prime is 480595541. The reversal of 480595540 is 45595084.

It is a super-3 number, since 3×480595540³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 480595493 and 480595502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480595541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136887 + ... + 140353.

It is an arithmetic number, because the mean of its divisors is an integer number (21848400).

Almost surely, 2^480595540 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 480595540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524361600).

480595540 is an abundant number, since it is smaller than the sum of its proper divisors (568127660).

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

480595540 is a wasteful number, since it uses less digits than its factorization.

480595540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3744 (or 3742 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

The square root of 480595540 is about 21922.4893659456. The cubic root of 480595540 is about 783.2972083335.

The spelling of 480595540 in words is "four hundred eighty million, five hundred ninety-five thousand, five hundred forty".