480816420 has 72 divisors (see below), whose sum is σ = 1566097344. Its totient is φ = 109900224.

The previous prime is 480816409. The next prime is 480816499. The reversal of 480816420 is 24618084.

It is a super-3 number, since 3×480816420³ (a number of 27 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 78832 + ... + 84711.

It is an arithmetic number, because the mean of its divisors is an integer number (21751352).

Almost surely, 2^480816420 is an apocalyptic number.

It is an amenable number.

480816420 is an abundant number, since it is smaller than the sum of its proper divisors (1085280924).

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

480816420 is a wasteful number, since it uses less digits than its factorization.

480816420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163569 (or 163560 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 480816420 is about 21927.5265362968. The cubic root of 480816420 is about 783.4171901576.

The spelling of 480816420 in words is "four hundred eighty million, eight hundred sixteen thousand, four hundred twenty".