506589120 has 224 divisors, whose sum is σ = 1892808000. Its totient is φ = 127107072.

The previous prime is 506589119. The next prime is 506589133. The reversal of 506589120 is 21985605.

It is a happy number.

506589120 is a `hidden beast` number, since 50 + 6 + 589 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145156 + ... + 148604.

Almost surely, 2^506589120 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 506589120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946404000).

506589120 is an abundant number, since it is smaller than the sum of its proper divisors (1386218880).

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

506589120 is a wasteful number, since it uses less digits than its factorization.

506589120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3492 (or 3476 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 506589120 is about 22507.5347383937. The cubic root of 506589120 is about 797.1718470537.

The spelling of 506589120 in words is "five hundred six million, five hundred eighty-nine thousand, one hundred twenty".