40579344 has 120 divisors (see below), whose sum is σ = 124913880. Its totient is φ = 12220416.

The previous prime is 40579327. The next prime is 40579349. The reversal of 40579344 is 44397504.

40579344 is a `hidden beast` number, since 40 + 579 + 3 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11289600 + 29289744 = 3360^2 + 5412^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 40579299 and 40579308.

It is not an unprimeable number, because it can be changed into a prime (40579349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99012 + ... + 99420.

It is an arithmetic number, because the mean of its divisors is an integer number (1040949).

Almost surely, 2^40579344 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 40579344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62456940).

40579344 is an abundant number, since it is smaller than the sum of its proper divisors (84334536).

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

40579344 is a wasteful number, since it uses less digits than its factorization.

40579344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 40579344 is about 6370.1918338461. The cubic root of 40579344 is about 343.6383887128.

The spelling of 40579344 in words is "forty million, five hundred seventy-nine thousand, three hundred forty-four".