480519224372160 has 280 divisors, whose sum is σ = 1709421941443920. Its totient is φ = 128128674963456.

The previous prime is 480519224372081. The next prime is 480519224372167. The reversal of 480519224372160 is 61273422915084.

It is a happy number.

480519224372160 is a `hidden beast` number, since 4 + 8 + 0 + 5 + 1 + 92 + 24 + 372 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 480519224372097 and 480519224372106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480519224372167) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 341935272 + ... + 343337688.

It is a 1-persistent number, because it is pandigital, but 2⋅480519224372160 = 961038448744320 is not.

Almost surely, 2^{480519224372160} is an apocalyptic number.

480519224372160 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 480519224372160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854710970721960).

480519224372160 is an abundant number, since it is smaller than the sum of its proper divisors (1228902717071760).

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

480519224372160 is a wasteful number, since it uses less digits than its factorization.

480519224372160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415665 (or 1415646 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 480519224372160 in words is "four hundred eighty trillion, five hundred nineteen billion, two hundred twenty-four million, three hundred seventy-two thousand, one hundred sixty".