413632128 has 384 divisors, whose sum is σ = 1465128000. Its totient is φ = 102187008.

The previous prime is 413632127. The next prime is 413632157. The reversal of 413632128 is 821236314.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 413632095 and 413632104.

It is not an unprimeable number, because it can be changed into a prime (413632123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4647508 + ... + 4647596.

Almost surely, 2^413632128 is an apocalyptic number.

413632128 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 413632128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732564000).

413632128 is an abundant number, since it is smaller than the sum of its proper divisors (1051495872).

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

413632128 is a wasteful number, since it uses less digits than its factorization.

413632128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 133 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 413632128 is about 20337.9479790858. The cubic root of 413632128 is about 745.0831719524.

The spelling of 413632128 in words is "four hundred thirteen million, six hundred thirty-two thousand, one hundred twenty-eight".