480036519540 has 288 divisors, whose sum is σ = 1504816185600. Its totient is φ = 123808204800.

The previous prime is 480036519539. The next prime is 480036519541. The reversal of 480036519540 is 45915630084.

480036519540 is a `hidden beast` number, since 4 + 80 + 0 + 3 + 6 + 519 + 54 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (480036519539) and next prime (480036519541).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480036519541) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 457612936 + ... + 457613984.

It is an arithmetic number, because the mean of its divisors is an integer number (5225056200).

Almost surely, 2^480036519540 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 480036519540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752408092800).

480036519540 is an abundant number, since it is smaller than the sum of its proper divisors (1024779666060).

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

480036519540 is a wasteful number, since it uses less digits than its factorization.

480036519540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 480036519540 in words is "four hundred eighty billion, thirty-six million, five hundred nineteen thousand, five hundred forty".