505314040 has 128 divisors (see below), whose sum is σ = 1424563200. Its totient is φ = 156718080.

The previous prime is 505314037. The next prime is 505314041. The reversal of 505314040 is 40413505.

It is a super-2 number, since 2×505314040² = 510684558042243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505314041) 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, 1105492 + ... + 1105948.

It is an arithmetic number, because the mean of its divisors is an integer number (11129400).

Almost surely, 2^505314040 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 505314040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712281600).

505314040 is an abundant number, since it is smaller than the sum of its proper divisors (919249160).

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

505314040 is a wasteful number, since it uses less digits than its factorization.

505314040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 505314040 is about 22479.1912665914. The cubic root of 505314040 is about 796.5024604719.

Adding to 505314040 its reverse (40413505), we get a palindrome (545727545).

The spelling of 505314040 in words is "five hundred five million, three hundred fourteen thousand, forty".