412538688 has 84 divisors (see below), whose sum is σ = 1223291940. Its totient is φ = 132765696.

The previous prime is 412538683. The next prime is 412538699. The reversal of 412538688 is 886835214.

It can be written as a sum of positive squares in 2 ways, for example, as 317124864 + 95413824 = 17808^2 + 9768^2 .

It is a super-2 number, since 2×412538688² = 340376338193522688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412538683) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4356 + ... + 29052.

Almost surely, 2^412538688 is an apocalyptic number.

412538688 is a gapful number since it is divisible by the number (48) 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 412538688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611645970).

412538688 is an abundant number, since it is smaller than the sum of its proper divisors (810753252).

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

412538688 is a wasteful number, since it uses less digits than its factorization.

412538688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24744 (or 24731 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 412538688 is about 20311.0484219796. The cubic root of 412538688 is about 744.4260480359.

The spelling of 412538688 in words is "four hundred twelve million, five hundred thirty-eight thousand, six hundred eighty-eight".