511380 has 48 divisors (see below), whose sum is σ = 1592640. Its totient is φ = 136224.

The previous prime is 511361. The next prime is 511387. The reversal of 511380 is 83115.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511387) by changing a digit.

511380 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 15 ways as a sum of consecutive naturals, for example, 67 + ... + 1013.

It is an arithmetic number, because the mean of its divisors is an integer number (33180).

2⁵¹¹³⁸⁰ 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 511380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796320).

511380 is an abundant number, since it is smaller than the sum of its proper divisors (1081260).

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

511380 is a wasteful number, since it uses less digits than its factorization.

511380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 511380 is about 715.1083833937. The cubic root of 511380 is about 79.9676952902.

Adding to 511380 its reverse (83115), we get a palindrome (594495).

It can be divided in two parts, 51 and 1380, that added together give a triangular number (1431 = T₅₃).

The spelling of 511380 in words is "five hundred eleven thousand, three hundred eighty".