412332144 has 160 divisors (see below), whose sum is σ = 1324486656. Its totient is φ = 107827200.

The previous prime is 412332143. The next prime is 412332157. The reversal of 412332144 is 441233214.

It is a super-3 number, since 3×412332144³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412332143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210369 + ... + 212319.

Almost surely, 2^412332144 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 412332144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662243328).

412332144 is an abundant number, since it is smaller than the sum of its proper divisors (912154512).

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

412332144 is a wasteful number, since it uses less digits than its factorization.

412332144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023 (or 2017 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 412332144 is about 20305.9632620568. The cubic root of 412332144 is about 744.3017910830.

Adding to 412332144 its reverse (441233214), we get a palindrome (853565358).

The spelling of 412332144 in words is "four hundred twelve million, three hundred thirty-two thousand, one hundred forty-four".