505456413 has 24 divisors (see below), whose sum is σ = 855246240. Its totient is φ = 262573920.

The previous prime is 505456409. The next prime is 505456417. The reversal of 505456413 is 314654505.

It is an interprime number because it is at equal distance from previous prime (505456409) and next prime (505456417).

It is not a de Polignac number, because 505456413 - 2² = 505456409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505456417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154678 + ... + 157911.

It is an arithmetic number, because the mean of its divisors is an integer number (35635260).

Almost surely, 2^505456413 is an apocalyptic number.

It is an amenable number.

505456413 is a deficient number, since it is larger than the sum of its proper divisors (349789827).

505456413 is a wasteful number, since it uses less digits than its factorization.

505456413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312617 (or 312610 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 505456413 is about 22482.3578167416. The cubic root of 505456413 is about 796.5772587077.

The spelling of 505456413 in words is "five hundred five million, four hundred fifty-six thousand, four hundred thirteen".