507408385 has 32 divisors (see below), whose sum is σ = 686619648. Its totient is φ = 356771520.

The previous prime is 507408371. The next prime is 507408427. The reversal of 507408385 is 583804705.

It is not a de Polignac number, because 507408385 - 2¹⁷ = 507277313 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242554 + ... + 244636.

It is an arithmetic number, because the mean of its divisors is an integer number (21456864).

Almost surely, 2^507408385 is an apocalyptic number.

507408385 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

507408385 is a deficient number, since it is larger than the sum of its proper divisors (179211263).

507408385 is a wasteful number, since it uses less digits than its factorization.

507408385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2245.

The product of its (nonzero) digits is 134400, while the sum is 40.

The square root of 507408385 is about 22525.7271802710. The cubic root of 507408385 is about 797.6013491346.

The spelling of 507408385 in words is "five hundred seven million, four hundred eight thousand, three hundred eighty-five".