505550400 has 84 divisors (see below), whose sum is σ = 1658642352. Its totient is φ = 134812160.

The previous prime is 505550389. The next prime is 505550407. The reversal of 505550400 is 4055505.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (505550407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47862 + ... + 57461.

Almost surely, 2^505550400 is an apocalyptic number.

505550400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

505550400 is an abundant number, since it is smaller than the sum of its proper divisors (1153091952).

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

505550400 is a wasteful number, since it uses less digits than its factorization.

505550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105348 (or 105333 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 24.

The square root of 505550400 is about 22484.4479585335. The cubic root of 505550400 is about 796.6266287853.

It can be divided in two parts, 5055 and 50400, that added together give a palindrome (55455).

The spelling of 505550400 in words is "five hundred five million, five hundred fifty thousand, four hundred".