412774128 has 120 divisors (see below), whose sum is σ = 1249815840. Its totient is φ = 126420480.

The previous prime is 412774099. The next prime is 412774133. The reversal of 412774128 is 821477214.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 412774092 and 412774101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 581838 + ... + 582546.

It is an arithmetic number, because the mean of its divisors is an integer number (10415132).

Almost surely, 2^412774128 is an apocalyptic number.

412774128 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 412774128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624907920).

412774128 is an abundant number, since it is smaller than the sum of its proper divisors (837041712).

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

412774128 is a wasteful number, since it uses less digits than its factorization.

412774128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1038 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 412774128 is about 20316.8434556158. The cubic root of 412774128 is about 744.5676382610.

The spelling of 412774128 in words is "four hundred twelve million, seven hundred seventy-four thousand, one hundred twenty-eight".