505418000 has 40 divisors (see below), whose sum is σ = 1222105560. Its totient is φ = 202166400.

The previous prime is 505417967. The next prime is 505418021. The reversal of 505418000 is 814505.

It can be written as a sum of positive squares in 4 ways, for example, as 42823936 + 462594064 = 6544^2 + 21508^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124355 + ... + 128354.

It is an arithmetic number, because the mean of its divisors is an integer number (30552639).

Almost surely, 2^505418000 is an apocalyptic number.

505418000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

505418000 is an abundant number, since it is smaller than the sum of its proper divisors (716687560).

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

505418000 is a wasteful number, since it uses less digits than its factorization.

505418000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252732 (or 252716 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 505418000 is about 22481.5035084400. The cubic root of 505418000 is about 796.5570791257.

The spelling of 505418000 in words is "five hundred five million, four hundred eighteen thousand".