480519400 has 24 divisors (see below), whose sum is σ = 1117208070. Its totient is φ = 192207680.

The previous prime is 480519371. The next prime is 480519401. The reversal of 480519400 is 4915084.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 339812356 + 140707044 = 18434^2 + 11862^2 .

It is not an unprimeable number, because it can be changed into a prime (480519401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1201099 + ... + 1201498.

Almost surely, 2^480519400 is an apocalyptic number.

480519400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480519400 is an abundant number, since it is smaller than the sum of its proper divisors (636688670).

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

480519400 is a wasteful number, since it uses less digits than its factorization.

480519400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402613 (or 2402604 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 480519400 is about 21920.7527243021. The cubic root of 480519400 is about 783.2558406315.

The spelling of 480519400 in words is "four hundred eighty million, five hundred nineteen thousand, four hundred".