511992 has 48 divisors (see below), whose sum is σ = 1496040. Its totient is φ = 157248.

The previous prime is 511991. The next prime is 511997. The reversal of 511992 is 299115.

It is a happy number.

It is a zygodrome in base 2 and base 3.

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 511992.

It is not an unprimeable number, because it can be changed into a prime (511991) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 663 + ... + 1209.

2⁵¹¹⁹⁹² is an apocalyptic number.

511992 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 511992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748020).

511992 is an abundant number, since it is smaller than the sum of its proper divisors (984048).

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

511992 is a wasteful number, since it uses less digits than its factorization.

511992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 565 counting only the distinct ones).

The product of its digits is 810, while the sum is 27.

The square root of 511992 is about 715.5361626082. The cubic root of 511992 is about 79.9995833312. Note that the first 3 decimals are identical.

The spelling of 511992 in words is "five hundred eleven thousand, nine hundred ninety-two".