412486480 has 80 divisors (see below), whose sum is σ = 1101893760. Its totient is φ = 140668416.

The previous prime is 412486463. The next prime is 412486489. The reversal of 412486480 is 84684214.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412486489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108451 + ... + 112189.

It is an arithmetic number, because the mean of its divisors is an integer number (13773672).

Almost surely, 2^412486480 is an apocalyptic number.

412486480 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 412486480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550946880).

412486480 is an abundant number, since it is smaller than the sum of its proper divisors (689407280).

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

412486480 is a wasteful number, since it uses less digits than its factorization.

412486480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3956 (or 3950 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 412486480 is about 20309.7631694710. The cubic root of 412486480 is about 744.3946435997.

The spelling of 412486480 in words is "four hundred twelve million, four hundred eighty-six thousand, four hundred eighty".