505958399 has 8 divisors (see below), whose sum is σ = 510182688. Its totient is φ = 501742080.

The previous prime is 505958371. The next prime is 505958413. The reversal of 505958399 is 993859505.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 505958399 - 2²⁴ = 489181183 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 505958399.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505958309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 249839 + ... + 251855.

It is an arithmetic number, because the mean of its divisors is an integer number (63772836).

Almost surely, 2^505958399 is an apocalyptic number.

505958399 is a deficient number, since it is larger than the sum of its proper divisors (4224289).

505958399 is a wasteful number, since it uses less digits than its factorization.

505958399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3985.

The product of its (nonzero) digits is 2187000, while the sum is 53.

The square root of 505958399 is about 22493.5190443825. The cubic root of 505958399 is about 796.8408741382.

The spelling of 505958399 in words is "five hundred five million, nine hundred fifty-eight thousand, three hundred ninety-nine".