506475420 has 96 divisors (see below), whose sum is σ = 1576350720. Its totient is φ = 120456960.

The previous prime is 506475391. The next prime is 506475421. The reversal of 506475420 is 24574605.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506475421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27741 + ... + 42219.

It is an arithmetic number, because the mean of its divisors is an integer number (16420320).

Almost surely, 2^506475420 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 506475420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788175360).

506475420 is an abundant number, since it is smaller than the sum of its proper divisors (1069875300).

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

506475420 is a wasteful number, since it uses less digits than its factorization.

506475420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14555 (or 14553 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 506475420 is about 22505.0087758259. The cubic root of 506475420 is about 797.1122029112.

The spelling of 506475420 in words is "five hundred six million, four hundred seventy-five thousand, four hundred twenty".