505958401 has 8 divisors (see below), whose sum is σ = 552343400. Its totient is φ = 460639872.

The previous prime is 505958371. The next prime is 505958413. The reversal of 505958401 is 104859505.

It can be written as a sum of positive squares in 4 ways, for example, as 45212176 + 460746225 = 6724^2 + 21465^2 .

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 505958401 - 2¹⁵ = 505925633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (505958501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 265626 + ... + 267523.

It is an arithmetic number, because the mean of its divisors is an integer number (69042925).

Almost surely, 2^505958401 is an apocalyptic number.

It is an amenable number.

505958401 is a deficient number, since it is larger than the sum of its proper divisors (46384999).

505958401 is a wasteful number, since it uses less digits than its factorization.

505958401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533235.

The product of its (nonzero) digits is 36000, while the sum is 37.

The square root of 505958401 is about 22493.5190888398. The cubic root of 505958401 is about 796.8408751882.

It can be divided in two parts, 50595 and 8401, that added together give a triangular number (58996 = T₃₄₃).

The spelling of 505958401 in words is "five hundred five million, nine hundred fifty-eight thousand, four hundred one".