412866144 has 72 divisors (see below), whose sum is σ = 1186272360. Its totient is φ = 136194048.

The previous prime is 412866119. The next prime is 412866149. The reversal of 412866144 is 441668214.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×412866144² = 340916905722857472, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 412866099 and 412866108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412866149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20547 + ... + 35325.

It is an arithmetic number, because the mean of its divisors is an integer number (16476005).

Almost surely, 2^412866144 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 412866144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593136180).

412866144 is an abundant number, since it is smaller than the sum of its proper divisors (773406216).

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

412866144 is a wasteful number, since it uses less digits than its factorization.

412866144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14892 (or 14881 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 412866144 is about 20319.1078544310. The cubic root of 412866144 is about 744.6229607249.

The spelling of 412866144 in words is "four hundred twelve million, eight hundred sixty-six thousand, one hundred forty-four".