405707040 has 144 divisors (see below), whose sum is σ = 1466003448. Its totient is φ = 101818368.

The previous prime is 405707039. The next prime is 405707083. The reversal of 405707040 is 40707504.

It can be written as a sum of positive squares in 4 ways, for example, as 385886736 + 19820304 = 19644^2 + 4452^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 405706995 and 405707013.

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 23 ways as a sum of consecutive naturals, for example, 16194 + ... + 32766.

Almost surely, 2^405707040 is an apocalyptic number.

405707040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405707040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733001724).

405707040 is an abundant number, since it is smaller than the sum of its proper divisors (1060296408).

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

405707040 is a wasteful number, since it uses less digits than its factorization.

405707040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16611 (or 16600 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 405707040 is about 20142.1706873912. The cubic root of 405707040 is about 740.2939178195.

The spelling of 405707040 in words is "four hundred five million, seven hundred seven thousand, forty".