507392 has 20 divisors (see below), whose sum is σ = 1014816. Its totient is φ = 253440.

The previous prime is 507383. The next prime is 507401. The reversal of 507392 is 293705.

It is an interprime number because it is at equal distance from previous prime (507383) and next prime (507401).

507392 is an admirable number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 507392.

It is an unprimeable number.

507392 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17 + ... + 1007.

2⁵⁰⁷³⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 507392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507408).

507392 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

507392 is an frugal number, since it uses more digits than its factorization.

507392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 26.

The square root of 507392 is about 712.3145372657. The cubic root of 507392 is about 79.7592763783.

The spelling of 507392 in words is "five hundred seven thousand, three hundred ninety-two".