505681920 has 384 divisors, whose sum is σ = 1886976000. Its totient is φ = 128286720.

The previous prime is 505681879. The next prime is 505681921. The reversal of 505681920 is 29186505.

It is a happy number.

505681920 is a `hidden beast` number, since 5 + 0 + 568 + 1 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505681921) 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, 8570851 + ... + 8570909.

It is an arithmetic number, because the mean of its divisors is an integer number (4914000).

Almost surely, 2^505681920 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 505681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943488000).

505681920 is an abundant number, since it is smaller than the sum of its proper divisors (1381294080).

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

505681920 is a wasteful number, since it uses less digits than its factorization.

505681920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 100 counting only the distinct ones).

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

The square root of 505681920 is about 22487.3724565588. The cubic root of 505681920 is about 796.6957041600.

The spelling of 505681920 in words is "five hundred five million, six hundred eighty-one thousand, nine hundred twenty".