40284576 has 72 divisors (see below), whose sum is σ = 115508484. Its totient is φ = 13317120.

The previous prime is 40284553. The next prime is 40284581. The reversal of 40284576 is 67548204.

40284576 is a `hidden beast` number, since 4 + 0 + 2 + 84 + 576 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39992976 + 291600 = 6324^2 + 540^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 40284576.

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 11 ways as a sum of consecutive naturals, for example, 38946 + ... + 39966.

Almost surely, 2^40284576 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 40284576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57754242).

40284576 is an abundant number, since it is smaller than the sum of its proper divisors (75223908).

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

40284576 is a wasteful number, since it uses less digits than its factorization.

40284576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 40284576 is about 6347.0131558080. The cubic root of 40284576 is about 342.8043037619.

The spelling of 40284576 in words is "forty million, two hundred eighty-four thousand, five hundred seventy-six".