505407 has 16 divisors (see below), whose sum is σ = 790272. Its totient is φ = 281280.

The previous prime is 505399. The next prime is 505409. The reversal of 505407 is 704505.

It is not a de Polignac number, because 505407 - 2³ = 505399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

505407 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 568 + ... + 1154.

It is an arithmetic number, because the mean of its divisors is an integer number (49392).

2⁵⁰⁵⁴⁰⁷ is an apocalyptic number.

505407 is a deficient number, since it is larger than the sum of its proper divisors (284865).

505407 is a wasteful number, since it uses less digits than its factorization.

505407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638.

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 505407 is about 710.9198267034. The cubic root of 505407 is about 79.6551300284.

The spelling of 505407 in words is "five hundred five thousand, four hundred seven".