505414400 has 108 divisors (see below), whose sum is σ = 1261450512. Its totient is φ = 200478720.

The previous prime is 505414391. The next prime is 505414409. The reversal of 505414400 is 4414505.

It is an interprime number because it is at equal distance from previous prime (505414391) and next prime (505414409).

It is not an unprimeable number, because it can be changed into a prime (505414409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1004549 + ... + 1005051.

Almost surely, 2^505414400 is an apocalyptic number.

505414400 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 505414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630725256).

505414400 is an abundant number, since it is smaller than the sum of its proper divisors (756036112).

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

505414400 is a wasteful number, since it uses less digits than its factorization.

505414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 505414400 is about 22481.4234424780. The cubic root of 505414400 is about 796.5551878778. Note that the first 3 decimals are identical.

Adding to 505414400 its reverse (4414505), we get a palindrome (509828905).

The spelling of 505414400 in words is "five hundred five million, four hundred fourteen thousand, four hundred".