509672 has 8 divisors (see below), whose sum is σ = 955650. Its totient is φ = 254832.

The previous prime is 509659. The next prime is 509681. The reversal of 509672 is 276905.

It can be written as a sum of positive squares in only one way, i.e., 498436 + 11236 = 706^2 + 106^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an alternating number because its digits alternate between odd and even.

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 as a sum of consecutive naturals, namely, 31847 + ... + 31862.

2⁵⁰⁹⁶⁷² is an apocalyptic number.

It is an amenable number.

509672 is a deficient number, since it is larger than the sum of its proper divisors (445978).

509672 is a wasteful number, since it uses less digits than its factorization.

509672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63715 (or 63711 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 509672 is about 713.9131599852. The cubic root of 509672 is about 79.8785657648.

The spelling of 509672 in words is "five hundred nine thousand, six hundred seventy-two".