407068128 has 288 divisors, whose sum is σ = 1316165760. Its totient is φ = 118702080.

The previous prime is 407068093. The next prime is 407068133. The reversal of 407068128 is 821860704.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 407068092 and 407068101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6673218 + ... + 6673278.

It is an arithmetic number, because the mean of its divisors is an integer number (4570020).

Almost surely, 2^407068128 is an apocalyptic number.

407068128 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 407068128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658082880).

407068128 is an abundant number, since it is smaller than the sum of its proper divisors (909097632).

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

407068128 is a wasteful number, since it uses less digits than its factorization.

407068128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 407068128 is about 20175.9294209709. The cubic root of 407068128 is about 741.1208531651.

The spelling of 407068128 in words is "four hundred seven million, sixty-eight thousand, one hundred twenty-eight".