412485216 has 96 divisors (see below), whose sum is σ = 1272112128. Its totient is φ = 115376640.

The previous prime is 412485211. The next prime is 412485247. The reversal of 412485216 is 612584214.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412485211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1296 + ... + 28751.

It is an arithmetic number, because the mean of its divisors is an integer number (13251168).

Almost surely, 2^412485216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412485216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636056064).

412485216 is an abundant number, since it is smaller than the sum of its proper divisors (859626912).

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

412485216 is a wasteful number, since it uses less digits than its factorization.

412485216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30084 (or 30076 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 412485216 is about 20309.7320514083. The cubic root of 412485216 is about 744.3938832388.

It can be divided in two parts, 41248 and 5216, that added together give a palindrome (46464).

The spelling of 412485216 in words is "four hundred twelve million, four hundred eighty-five thousand, two hundred sixteen".