412204128 has 96 divisors (see below), whose sum is σ = 1244807424. Its totient is φ = 116992512.

The previous prime is 412204081. The next prime is 412204139. The reversal of 412204128 is 821402214.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 412204098 and 412204107.

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, 103551 + ... + 107457.

It is an arithmetic number, because the mean of its divisors is an integer number (12966744).

Almost surely, 2^412204128 is an apocalyptic number.

412204128 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 412204128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622403712).

412204128 is an abundant number, since it is smaller than the sum of its proper divisors (832603296).

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

412204128 is a wasteful number, since it uses less digits than its factorization.

412204128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4084 (or 4076 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 412204128 is about 20302.8108398813. The cubic root of 412204128 is about 744.2247557755.

The spelling of 412204128 in words is "four hundred twelve million, two hundred four thousand, one hundred twenty-eight".