405960459552 has 96 divisors (see below), whose sum is σ = 1184200335360. Its totient is φ = 135303125760.

The previous prime is 405960459551. The next prime is 405960459557. The reversal of 405960459552 is 255954069504.

405960459552 is a `hidden beast` number, since 4 + 0 + 596 + 0 + 45 + 9 + 5 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (405960459551) 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 15 ways as a sum of consecutive naturals, for example, 8149473 + ... + 8199135.

It is an arithmetic number, because the mean of its divisors is an integer number (12335420160).

Almost surely, 2^405960459552 is an apocalyptic number.

It is an amenable number.

405960459552 is an abundant number, since it is smaller than the sum of its proper divisors (778239875808).

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

405960459552 is a wasteful number, since it uses less digits than its factorization.

405960459552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59143 (or 59129 counting only the distinct ones).

The product of its (nonzero) digits is 9720000, while the sum is 54.

The spelling of 405960459552 in words is "four hundred five billion, nine hundred sixty million, four hundred fifty-nine thousand, five hundred fifty-two".