414439128 has 48 divisors (see below), whose sum is σ = 1141475400. Its totient is φ = 135803520.

The previous prime is 414439127. The next prime is 414439147. The reversal of 414439128 is 821934414.

It is a happy number.

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 = 414439092 and 414439101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414439127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44533 + ... + 53028.

Almost surely, 2^414439128 is an apocalyptic number.

It is an amenable number.

414439128 is an abundant number, since it is smaller than the sum of its proper divisors (727036272).

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

414439128 is a wasteful number, since it uses less digits than its factorization.

414439128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97632 (or 97625 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 414439128 is about 20357.7780712926. The cubic root of 414439128 is about 745.5674118254.

The spelling of 414439128 in words is "four hundred fourteen million, four hundred thirty-nine thousand, one hundred twenty-eight".