505814400 has 576 divisors, whose sum is σ = 2232877920. Its totient is φ = 106168320.

The previous prime is 505814399. The next prime is 505814431. The reversal of 505814400 is 4418505.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2620704 + ... + 2620896.

Almost surely, 2^505814400 is an apocalyptic number.

505814400 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 505814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116438960).

505814400 is an abundant number, since it is smaller than the sum of its proper divisors (1727063520).

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

505814400 is a wasteful number, since it uses less digits than its factorization.

505814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 505814400 is about 22490.3179168281. The cubic root of 505814400 is about 796.7652716271.

The spelling of 505814400 in words is "five hundred five million, eight hundred fourteen thousand, four hundred".