407128 has 8 divisors (see below), whose sum is σ = 763380. Its totient is φ = 203560.

The previous prime is 407119. The next prime is 407137. The reversal of 407128 is 821704.

407128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (407119) and next prime (407137).

It is a tau number, because it is divible by the number of its divisors (8).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 407099 and 407108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25438 + ... + 25453.

2⁴⁰⁷¹²⁸ is an apocalyptic number.

It is an amenable number.

407128 is a deficient number, since it is larger than the sum of its proper divisors (356252).

407128 is a wasteful number, since it uses less digits than its factorization.

407128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50897 (or 50893 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 407128 is about 638.0658273250. The cubic root of 407128 is about 74.1157186324.

It can be divided in two parts, 407 and 128, that added together give a palindrome (535).

The spelling of 407128 in words is "four hundred seven thousand, one hundred twenty-eight".