412480584 has 24 divisors (see below), whose sum is σ = 1117135110. Its totient is φ = 137493504.

The previous prime is 412480583. The next prime is 412480603. The reversal of 412480584 is 485084214.

It can be written as a sum of positive squares in only one way, i.e., 255680100 + 156800484 = 15990^2 + 12522^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (412480583) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 2864377 + ... + 2864520.

Almost surely, 2^412480584 is an apocalyptic number.

It is an amenable number.

412480584 is an abundant number, since it is smaller than the sum of its proper divisors (704654526).

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

412480584 is a wasteful number, since it uses less digits than its factorization.

412480584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5728909 (or 5728902 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 412480584 is about 20309.6180170874. The cubic root of 412480584 is about 744.3910968397.

It can be divided in two parts, 41 and 2480584, that added together give a square (2480625 = 1575²).

The spelling of 412480584 in words is "four hundred twelve million, four hundred eighty thousand, five hundred eighty-four".