405212560 has 40 divisors (see below), whose sum is σ = 959905080. Its totient is φ = 159025152.

The previous prime is 405212539. The next prime is 405212573. The reversal of 405212560 is 65212504.

It can be written as a sum of positive squares in 4 ways, for example, as 2166784 + 403045776 = 1472^2 + 20076^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43545 + ... + 52024.

It is an arithmetic number, because the mean of its divisors is an integer number (23997627).

Almost surely, 2^405212560 is an apocalyptic number.

405212560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405212560 is an abundant number, since it is smaller than the sum of its proper divisors (554692520).

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

405212560 is a wasteful number, since it uses less digits than its factorization.

405212560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95635 (or 95629 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 405212560 is about 20129.8922004068. The cubic root of 405212560 is about 739.9930362140.

The spelling of 405212560 in words is "four hundred five million, two hundred twelve thousand, five hundred sixty".