509268406 has 16 divisors (see below), whose sum is σ = 781622784. Its totient is φ = 248747944.

The previous prime is 509268401. The next prime is 509268451. The reversal of 509268406 is 604862905.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509268401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48111 + ... + 57733.

It is an arithmetic number, because the mean of its divisors is an integer number (48851424).

Almost surely, 2^509268406 is an apocalyptic number.

509268406 is a deficient number, since it is larger than the sum of its proper divisors (272354378).

509268406 is a wasteful number, since it uses less digits than its factorization.

509268406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10235.

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 509268406 is about 22566.9760047730. The cubic root of 509268406 is about 798.5747571531.

The spelling of 509268406 in words is "five hundred nine million, two hundred sixty-eight thousand, four hundred six".