40304160 has 144 divisors (see below), whose sum is σ = 148186584. Its totient is φ = 9916416.

The previous prime is 40304129. The next prime is 40304183. The reversal of 40304160 is 6140304.

40304160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 15023376 + 25280784 = 3876^2 + 5028^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 17644 + ... + 19796.

Almost surely, 2^40304160 is an apocalyptic number.

40304160 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 40304160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74093292).

40304160 is an abundant number, since it is smaller than the sum of its proper divisors (107882424).

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

40304160 is a wasteful number, since it uses less digits than its factorization.

40304160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 40304160 is about 6348.5557412690. Note that the first 3 decimals coincide. The cubic root of 40304160 is about 342.8598452168.

Adding to 40304160 its reverse (6140304), we get a palindrome (46444464).

The spelling of 40304160 in words is "forty million, three hundred four thousand, one hundred sixty".