505268400 has 360 divisors, whose sum is σ = 2030692944. Its totient is φ = 106444800.

The previous prime is 505268381. The next prime is 505268431. The reversal of 505268400 is 4862505.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 764070 + ... + 764730.

Almost surely, 2^505268400 is an apocalyptic number.

505268400 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 505268400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015346472).

505268400 is an abundant number, since it is smaller than the sum of its proper divisors (1525424544).

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

505268400 is a wasteful number, since it uses less digits than its factorization.

505268400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 505268400 is about 22478.1760825918. The cubic root of 505268400 is about 796.4784796970.

The spelling of 505268400 in words is "five hundred five million, two hundred sixty-eight thousand, four hundred".