505945440 has 864 divisors, whose sum is σ = 2417216256. Its totient is φ = 97044480.

The previous prime is 505945423. The next prime is 505945441. The reversal of 505945440 is 44549505.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a junction number, because it is equal to n+sod(n) for n = 505945395 and 505945404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505945441) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38918874 + ... + 38918886.

It is an arithmetic number, because the mean of its divisors is an integer number (2797704).

Almost surely, 2^505945440 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 505945440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208608128).

505945440 is an abundant number, since it is smaller than the sum of its proper divisors (1911270816).

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

505945440 is a wasteful number, since it uses less digits than its factorization.

505945440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 505945440 is about 22493.2309817865. The cubic root of 505945440 is about 796.8340709774.

The spelling of 505945440 in words is "five hundred five million, nine hundred forty-five thousand, four hundred forty".