505465040 has 40 divisors (see below), whose sum is σ = 1177273608. Its totient is φ = 201830400.

The previous prime is 505465031. The next prime is 505465057. The reversal of 505465040 is 40564505.

It can be written as a sum of positive squares in 4 ways, for example, as 7639696 + 497825344 = 2764^2 + 22312^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 505464994 and 505465012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42824 + ... + 53336.

Almost surely, 2^505465040 is an apocalyptic number.

It is an amenable number.

505465040 is an abundant number, since it is smaller than the sum of its proper divisors (671808568).

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

505465040 is a wasteful number, since it uses less digits than its factorization.

505465040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11127 (or 11121 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The square root of 505465040 is about 22482.5496774721. The cubic root of 505465040 is about 796.5817906072.

The spelling of 505465040 in words is "five hundred five million, four hundred sixty-five thousand, forty".