510420 has 48 divisors (see below), whose sum is σ = 1467648. Its totient is φ = 132480.

The previous prime is 510403. The next prime is 510449. The reversal of 510420 is 24015.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 510396 and 510405.

It is a congruent number.

It is an unprimeable number.

510420 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, 2730 + ... + 2910.

It is an arithmetic number, because the mean of its divisors is an integer number (30576).

2⁵¹⁰⁴²⁰ 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 510420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733824).

510420 is an abundant number, since it is smaller than the sum of its proper divisors (957228).

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

510420 is a wasteful number, since it uses less digits than its factorization.

510420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 510420 is about 714.4368411553. The cubic root of 510420 is about 79.9176235389.

Adding to 510420 its reverse (24015), we get a palindrome (534435).

The spelling of 510420 in words is "five hundred ten thousand, four hundred twenty".