405475965 has 24 divisors (see below), whose sum is σ = 709401888. Its totient is φ = 214230240.

The previous prime is 405475963. The next prime is 405475981. The reversal of 405475965 is 569574504.

405475965 is a `hidden beast` number, since 4 + 0 + 54 + 7 + 596 + 5 = 666.

It is not a de Polignac number, because 405475965 - 2¹ = 405475963 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 405475965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405475963) 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, 37291 + ... + 46920.

It is an arithmetic number, because the mean of its divisors is an integer number (29558412).

Almost surely, 2^405475965 is an apocalyptic number.

405475965 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

405475965 is a deficient number, since it is larger than the sum of its proper divisors (303925923).

405475965 is a wasteful number, since it uses less digits than its factorization.

405475965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84329 (or 84326 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 405475965 is about 20136.4337706556. The cubic root of 405475965 is about 740.1533435566.

The spelling of 405475965 in words is "four hundred five million, four hundred seventy-five thousand, nine hundred sixty-five".