505509440 has 224 divisors, whose sum is σ = 1360627200. Its totient is φ = 178053120.

The previous prime is 505509437. The next prime is 505509443. The reversal of 505509440 is 44905505.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (505509437) and next prime (505509443).

It is a super-3 number, since 3×505509440³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 505509397 and 505509406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505509443) 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, 8287010 + ... + 8287070.

Almost surely, 2^505509440 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 505509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680313600).

505509440 is an abundant number, since it is smaller than the sum of its proper divisors (855117760).

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

505509440 is a wasteful number, since it uses less digits than its factorization.

505509440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 505509440 is about 22483.5370882786. The cubic root of 505509440 is about 796.6051138133.

The spelling of 505509440 in words is "five hundred five million, five hundred nine thousand, four hundred forty".