412038144 has 176 divisors, whose sum is σ = 1395235200. Its totient is φ = 117669888.

The previous prime is 412038139. The next prime is 412038181. The reversal of 412038144 is 441830214.

It is a super-2 number, since 2×412038144² = 339550864221929472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192472 + ... + 194600.

Almost surely, 2^412038144 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 412038144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697617600).

412038144 is an abundant number, since it is smaller than the sum of its proper divisors (983197056).

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

412038144 is a wasteful number, since it uses less digits than its factorization.

412038144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2165 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 412038144 is about 20298.7227184372. The cubic root of 412038144 is about 744.1248489754.

Adding to 412038144 its reverse (441830214), we get a palindrome (853868358).

The spelling of 412038144 in words is "four hundred twelve million, thirty-eight thousand, one hundred forty-four".