405675744 has 96 divisors (see below), whose sum is σ = 1088640000. Its totient is φ = 132248064.

The previous prime is 405675731. The next prime is 405675749. The reversal of 405675744 is 447576504.

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

It is a junction number, because it is equal to n+sod(n) for n = 405675696 and 405675705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405675749) 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, 1129837 + ... + 1130195.

It is an arithmetic number, because the mean of its divisors is an integer number (11340000).

Almost surely, 2^405675744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405675744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544320000).

405675744 is an abundant number, since it is smaller than the sum of its proper divisors (682964256).

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

405675744 is a wasteful number, since it uses less digits than its factorization.

405675744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 42.

The square root of 405675744 is about 20141.3937948693. The cubic root of 405675744 is about 740.2748820524.

It can be divided in two parts, 4056 and 75744, that added together give a triangular number (79800 = T₃₉₉).

The spelling of 405675744 in words is "four hundred five million, six hundred seventy-five thousand, seven hundred forty-four".