412824480 has 48 divisors (see below), whose sum is σ = 1300398624. Its totient is φ = 110086400.

The previous prime is 412824479. The next prime is 412824521. The reversal of 412824480 is 84428214.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 429546 + ... + 430505.

It is an arithmetic number, because the mean of its divisors is an integer number (27091638).

Almost surely, 2^412824480 is an apocalyptic number.

412824480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412824480 is an abundant number, since it is smaller than the sum of its proper divisors (887574144).

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

412824480 is a wasteful number, since it uses less digits than its factorization.

412824480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860069 (or 860061 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The square root of 412824480 is about 20318.0825867009. The cubic root of 412824480 is about 744.5979122396.

The spelling of 412824480 in words is "four hundred twelve million, eight hundred twenty-four thousand, four hundred eighty".