406957828 has 12 divisors (see below), whose sum is σ = 712724572. Its totient is φ = 203322240.

The previous prime is 406957823. The next prime is 406957853. The reversal of 406957828 is 828759604.

It can be written as a sum of positive squares in 2 ways, for example, as 383454724 + 23503104 = 19582^2 + 4848^2 .

It is a super-2 number, since 2×406957828² = 331229347540955168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (406957823) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 33225 + ... + 43792.

Almost surely, 2^406957828 is an apocalyptic number.

It is an amenable number.

406957828 is a deficient number, since it is larger than the sum of its proper divisors (305766744).

406957828 is a wasteful number, since it uses less digits than its factorization.

406957828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78342 (or 78340 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

The square root of 406957828 is about 20173.1957805401. The cubic root of 406957828 is about 741.0539085851.

The spelling of 406957828 in words is "four hundred six million, nine hundred fifty-seven thousand, eight hundred twenty-eight".