405896967 has 32 divisors (see below), whose sum is σ = 691660800. Its totient is φ = 230446944.

The previous prime is 405896927. The next prime is 405896971. The reversal of 405896967 is 769698504.

It is not a de Polignac number, because 405896967 - 2⁷ = 405896839 is a prime.

It is a super-4 number, since 4×405896967⁴ (a number of 36 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405896927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22834 + ... + 36512.

It is an arithmetic number, because the mean of its divisors is an integer number (21614400).

Almost surely, 2^405896967 is an apocalyptic number.

405896967 is a deficient number, since it is larger than the sum of its proper divisors (285763833).

405896967 is a wasteful number, since it uses less digits than its factorization.

405896967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13852 (or 13846 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 405896967 is about 20146.8847964146. The cubic root of 405896967 is about 740.4094197741.

It can be divided in two parts, 4058 and 96967, that added together give a triangular number (101025 = T₄₄₉).

The spelling of 405896967 in words is "four hundred five million, eight hundred ninety-six thousand, nine hundred sixty-seven".