480240020 has 48 divisors (see below), whose sum is σ = 1115457168. Its totient is φ = 172523520.

The previous prime is 480239993. The next prime is 480240037. The reversal of 480240020 is 20042084.

It can be written as a sum of positive squares in 8 ways, for example, as 15147664 + 465092356 = 3892^2 + 21566^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 480239974 and 480240001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15341 + ... + 34580.

It is an arithmetic number, because the mean of its divisors is an integer number (23238691).

Almost surely, 2^480240020 is an apocalyptic number.

It is an amenable number.

480240020 is an abundant number, since it is smaller than the sum of its proper divisors (635217148).

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

480240020 is a wasteful number, since it uses less digits than its factorization.

480240020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49980 (or 49978 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 480240020 is about 21914.3792976210. The cubic root of 480240020 is about 783.1040129496.

The spelling of 480240020 in words is "four hundred eighty million, two hundred forty thousand, twenty".