506373120 has 528 divisors, whose sum is σ = 2038615488. Its totient is φ = 119439360.

The previous prime is 506373097. The next prime is 506373121. The reversal of 506373120 is 21373605.

It is a happy number.

506373120 is a `hidden beast` number, since 5 + 0 + 637 + 3 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (506373121) by changing a digit.

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, 13685742 + ... + 13685778.

Almost surely, 2^506373120 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 506373120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019307744).

506373120 is an abundant number, since it is smaller than the sum of its proper divisors (1532242368).

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

506373120 is a wasteful number, since it uses less digits than its factorization.

506373120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 506373120 is about 22502.7358336714. The cubic root of 506373120 is about 797.0585312910.

The spelling of 506373120 in words is "five hundred six million, three hundred seventy-three thousand, one hundred twenty".