405616351 has 24 divisors (see below), whose sum is σ = 492946944. Its totient is φ = 326883600.

The previous prime is 405616297. The next prime is 405616357. The reversal of 405616351 is 153616504.

It is not a de Polignac number, because 405616351 - 2⁹ = 405615839 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405616357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 381046 + ... + 382108.

It is an arithmetic number, because the mean of its divisors is an integer number (20539456).

Almost surely, 2^405616351 is an apocalyptic number.

405616351 is a deficient number, since it is larger than the sum of its proper divisors (87330593).

405616351 is a wasteful number, since it uses less digits than its factorization.

405616351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 405616351 is about 20139.9193394611. The cubic root of 405616351 is about 740.2387536152.

The spelling of 405616351 in words is "four hundred five million, six hundred sixteen thousand, three hundred fifty-one".