505440000 has 540 divisors, whose sum is σ = 2033767736. Its totient is φ = 124416000.

The previous prime is 505439993. The next prime is 505440007. The reversal of 505440000 is 44505.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (505439993) and next prime (505440007).

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505440007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 38879994 + ... + 38880006.

Almost surely, 2^505440000 is an apocalyptic number.

505440000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016883868).

505440000 is an abundant number, since it is smaller than the sum of its proper divisors (1528327736).

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

505440000 is an frugal number, since it uses more digits than its factorization.

505440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 505440000 is about 22481.9927942342. The cubic root of 505440000 is about 796.5686365571.

Adding to 505440000 its reverse (44505), we get a palindrome (505484505).

It can be divided in two parts, 5054 and 40000, that added together give a palindrome (45054).

The spelling of 505440000 in words is "five hundred five million, four hundred forty thousand".