480558240 has 72 divisors (see below), whose sum is σ = 1639909908. Its totient is φ = 128148480.

The previous prime is 480558233. The next prime is 480558263. The reversal of 480558240 is 42855084.

480558240 is a `hidden beast` number, since 4 + 80 + 558 + 24 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 475414416 + 5143824 = 21804^2 + 2268^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 = 480558195 and 480558204.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 165421 + ... + 168300.

Almost surely, 2^480558240 is an apocalyptic number.

480558240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480558240 is an abundant number, since it is smaller than the sum of its proper divisors (1159351668).

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

480558240 is a wasteful number, since it uses less digits than its factorization.

480558240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333742 (or 333731 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 480558240 is about 21921.6386248839. The cubic root of 480558240 is about 783.2769433780.

The spelling of 480558240 in words is "four hundred eighty million, five hundred fifty-eight thousand, two hundred forty".