406165024 has 24 divisors (see below), whose sum is σ = 819143388. Its totient is φ = 198128640.

The previous prime is 406164973. The next prime is 406165043. The reversal of 406165024 is 420561604.

It can be written as a sum of positive squares in 2 ways, for example, as 404010000 + 2155024 = 20100^2 + 1468^2 .

It is a junction number, because it is equal to n+sod(n) for n = 406164983 and 406165001.

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 3 ways as a sum of consecutive naturals, for example, 153477 + ... + 156100.

Almost surely, 2^406165024 is an apocalyptic number.

It is an amenable number.

406165024 is an abundant number, since it is smaller than the sum of its proper divisors (412978364).

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

406165024 is a wasteful number, since it uses less digits than its factorization.

406165024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309628 (or 309620 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 406165024 is about 20153.5362653803. The cubic root of 406165024 is about 740.5723743079.

The spelling of 406165024 in words is "four hundred six million, one hundred sixty-five thousand, twenty-four".