505296000 has 576 divisors, whose sum is σ = 2063388600. Its totient is φ = 118272000.

The previous prime is 505295969. The next prime is 505296019. The reversal of 505296000 is 692505.

505296000 is a `hidden beast` number, since 5 + 0 + 52 + 9 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 153958464 + 351337536 = 12408^2 + 18744^2 .

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

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, 17423986 + ... + 17424014.

Almost surely, 2^505296000 is an apocalyptic number.

505296000 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 505296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031694300).

505296000 is an abundant number, since it is smaller than the sum of its proper divisors (1558092600).

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

505296000 is a wasteful number, since it uses less digits than its factorization.

505296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 505296000 is about 22478.7900030228. The cubic root of 505296000 is about 796.4929818281.

The spelling of 505296000 in words is "five hundred five million, two hundred ninety-six thousand".