405905279104 has 32 divisors (see below), whose sum is σ = 870842459340. Its totient is φ = 187340897280.

The previous prime is 405905279077. The next prime is 405905279107. The reversal of 405905279104 is 401972509504.

It can be written as a sum of positive squares in 2 ways, for example, as 295335728704 + 110569550400 = 543448^2 + 332520^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×405905279104² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (405905279107) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 121965067 + ... + 121968394.

Almost surely, 2^405905279104 is an apocalyptic number.

It is an amenable number.

405905279104 is an abundant number, since it is smaller than the sum of its proper divisors (464937180236).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

405905279104 is a wasteful number, since it uses less digits than its factorization.

405905279104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243933488 (or 243933476 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 46.

The spelling of 405905279104 in words is "four hundred five billion, nine hundred five million, two hundred seventy-nine thousand, one hundred four".