511420 has 48 divisors (see below), whose sum is σ = 1326528. Its totient is φ = 161280.

The previous prime is 511417. The next prime is 511439. The reversal of 511420 is 24115.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 511420.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1680 + ... + 1960.

It is an arithmetic number, because the mean of its divisors is an integer number (27636).

2⁵¹¹⁴²⁰ 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 511420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663264).

511420 is an abundant number, since it is smaller than the sum of its proper divisors (815108).

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

511420 is a wasteful number, since it uses less digits than its factorization.

511420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 511420 is about 715.1363506353. The cubic root of 511420 is about 79.9697802527.

511420 divided by its sum of digits (13) gives a triangular number (39340 = T₂₈₀).

Adding to 511420 its reverse (24115), we get a palindrome (535535).

The spelling of 511420 in words is "five hundred eleven thousand, four hundred twenty".