506257920 has 480 divisors, whose sum is σ = 2078474112. Its totient is φ = 111476736.

The previous prime is 506257879. The next prime is 506257933. The reversal of 506257920 is 29752605.

506257920 is a `hidden beast` number, since 5 + 0 + 62 + 579 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable 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 47 ways as a sum of consecutive naturals, for example, 6935004 + ... + 6935076.

Almost surely, 2^506257920 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 506257920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039237056).

506257920 is an abundant number, since it is smaller than the sum of its proper divisors (1572216192).

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

506257920 is a wasteful number, since it uses less digits than its factorization.

506257920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 506257920 is about 22500.1759993116. The cubic root of 506257920 is about 796.9980830410.

The spelling of 506257920 in words is "five hundred six million, two hundred fifty-seven thousand, nine hundred twenty".