409256424 has 48 divisors (see below), whose sum is σ = 1135445220. Its totient is φ = 133090560.

The previous prime is 409256423. The next prime is 409256431. The reversal of 409256424 is 424652904.

409256424 is a `hidden beast` number, since 4 + 0 + 9 + 2 + 5 + 642 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 369792900 + 39463524 = 19230^2 + 6282^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (409256423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66367 + ... + 72270.

Almost surely, 2^409256424 is an apocalyptic number.

It is an amenable number.

409256424 is an abundant number, since it is smaller than the sum of its proper divisors (726188796).

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

409256424 is a wasteful number, since it uses less digits than its factorization.

409256424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138690 (or 138683 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 409256424 is about 20230.0870981813. The cubic root of 409256424 is about 742.4465070465.

It can be divided in two parts, 4092 and 56424, that added together give a square (60516 = 246²).

The spelling of 409256424 in words is "four hundred nine million, two hundred fifty-six thousand, four hundred twenty-four".