406007328 has 48 divisors (see below), whose sum is σ = 1128466080. Its totient is φ = 127374336.

The previous prime is 406007317. The next prime is 406007351. The reversal of 406007328 is 823700604.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 406007295 and 406007304.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 122758 + ... + 126021.

It is an arithmetic number, because the mean of its divisors is an integer number (23509710).

Almost surely, 2^406007328 is an apocalyptic number.

406007328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

406007328 is an abundant number, since it is smaller than the sum of its proper divisors (722458752).

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

406007328 is a wasteful number, since it uses less digits than its factorization.

406007328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248809 (or 248801 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 406007328 is about 20149.6235200562. The cubic root of 406007328 is about 740.4765180166.

The spelling of 406007328 in words is "four hundred six million, seven thousand, three hundred twenty-eight".