505642500 has 300 divisors, whose sum is σ = 1809883152. Its totient is φ = 122040000.

The previous prime is 505642453. The next prime is 505642541. The reversal of 505642500 is 5246505.

505642500 is a `hidden beast` number, since 50 + 564 + 2 + 50 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 2227387 + ... + 2227613.

Almost surely, 2^505642500 is an apocalyptic number.

505642500 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 505642500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904941576).

505642500 is an abundant number, since it is smaller than the sum of its proper divisors (1304240652).

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

505642500 is a wasteful number, since it uses less digits than its factorization.

505642500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 505642500 is about 22486.4959475682. The cubic root of 505642500 is about 796.6750017121.

The spelling of 505642500 in words is "five hundred five million, six hundred forty-two thousand, five hundred".