412956544 has 192 divisors, whose sum is σ = 1116753120. Its totient is φ = 148008960.

The previous prime is 412956539. The next prime is 412956553. The reversal of 412956544 is 445659214.

It is a junction number, because it is equal to n+sod(n) for n = 412956497 and 412956506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1409262 + ... + 1409554.

Almost surely, 2^412956544 is an apocalyptic number.

412956544 is a gapful number since it is divisible by the number (44) 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 412956544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558376560).

412956544 is an abundant number, since it is smaller than the sum of its proper divisors (703796576).

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

412956544 is a wasteful number, since it uses less digits than its factorization.

412956544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 326 counting only the distinct ones).

The product of its digits is 172800, while the sum is 40.

The square root of 412956544 is about 20321.3322397918. The cubic root of 412956544 is about 744.6773036028.

The spelling of 412956544 in words is "four hundred twelve million, nine hundred fifty-six thousand, five hundred forty-four".