412136928 has 144 divisors (see below), whose sum is σ = 1355084640. Its totient is φ = 116379648.

The previous prime is 412136927. The next prime is 412136993. The reversal of 412136928 is 829631214.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 412136892 and 412136901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412136927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178276 + ... + 180572.

It is an arithmetic number, because the mean of its divisors is an integer number (9410310).

Almost surely, 2^412136928 is an apocalyptic number.

412136928 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 412136928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677542320).

412136928 is an abundant number, since it is smaller than the sum of its proper divisors (942947712).

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

412136928 is a wasteful number, since it uses less digits than its factorization.

412136928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2409 (or 2398 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 412136928 is about 20301.1558291640. The cubic root of 412136928 is about 744.1843109100.

The spelling of 412136928 in words is "four hundred twelve million, one hundred thirty-six thousand, nine hundred twenty-eight".