406971828 has 18 divisors (see below), whose sum is σ = 1028734434. Its totient is φ = 135657264.

The previous prime is 406971797. The next prime is 406971839. The reversal of 406971828 is 828179604.

It can be written as a sum of positive squares in only one way, i.e., 258180624 + 148791204 = 16068^2 + 12198^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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 5 ways as a sum of consecutive naturals, for example, 5652351 + ... + 5652422.

It is an arithmetic number, because the mean of its divisors is an integer number (57151913).

Almost surely, 2^406971828 is an apocalyptic number.

It is an amenable number.

406971828 is an abundant number, since it is smaller than the sum of its proper divisors (621762606).

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

406971828 is a wasteful number, since it uses less digits than its factorization.

406971828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11304783 (or 11304778 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 406971828 is about 20173.5427726515. The cubic root of 406971828 is about 741.0624063008.

The spelling of 406971828 in words is "four hundred six million, nine hundred seventy-one thousand, eight hundred twenty-eight".