40205304 has 72 divisors (see below), whose sum is σ = 112235760. Its totient is φ = 12996288.

The previous prime is 40205299. The next prime is 40205317. The reversal of 40205304 is 40350204.

It is a happy number.

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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 368802 + ... + 368910.

It is an arithmetic number, because the mean of its divisors is an integer number (1558830).

Almost surely, 2^40205304 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 40205304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56117880).

40205304 is an abundant number, since it is smaller than the sum of its proper divisors (72030456).

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

40205304 is a wasteful number, since it uses less digits than its factorization.

40205304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 40205304 is about 6340.7652535006. The cubic root of 40205304 is about 342.5792993076.

Adding to 40205304 its reverse (40350204), we get a palindrome (80555508).

The spelling of 40205304 in words is "forty million, two hundred five thousand, three hundred four".