505627344 has 30 divisors (see below), whose sum is σ = 1415054706. Its totient is φ = 168542400.

The previous prime is 505627337. The next prime is 505627349. The reversal of 505627344 is 443726505.

505627344 is a `hidden beast` number, since 50 + 562 + 7 + 3 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 391564944 + 114062400 = 19788^2 + 10680^2 .

It is a super-2 number, since 2×505627344² = 511318022000988672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 505627299 and 505627308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505627349) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1755507 + ... + 1755794.

Almost surely, 2^505627344 is an apocalyptic number.

It is an amenable number.

505627344 is an abundant number, since it is smaller than the sum of its proper divisors (909427362).

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

505627344 is a wasteful number, since it uses less digits than its factorization.

505627344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3511315 (or 3511306 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 505627344 is about 22486.1589427808. The cubic root of 505627344 is about 796.6670418544.

It can be divided in two parts, 5056 and 27344, that added together give a square (32400 = 180²).

The spelling of 505627344 in words is "five hundred five million, six hundred twenty-seven thousand, three hundred forty-four".