405213875 has 48 divisors (see below), whose sum is σ = 565009536. Its totient is φ = 289872000.

The previous prime is 405213871. The next prime is 405213881. The reversal of 405213875 is 578312504.

It is a happy number.

It is not a de Polignac number, because 405213875 - 2² = 405213871 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (405213871) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1103942 + ... + 1104308.

It is an arithmetic number, because the mean of its divisors is an integer number (11771032).

Almost surely, 2^405213875 is an apocalyptic number.

405213875 is a deficient number, since it is larger than the sum of its proper divisors (159795661).

405213875 is a wasteful number, since it uses less digits than its factorization.

405213875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 405213875 is about 20129.9248632478. The cubic root of 405213875 is about 739.9938366908.

The spelling of 405213875 in words is "four hundred five million, two hundred thirteen thousand, eight hundred seventy-five".