40304000 has 128 divisors (see below), whose sum is σ = 109792800. Its totient is φ = 14592000.

The previous prime is 40303993. The next prime is 40304041. The reversal of 40304000 is 40304.

40304000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (11).

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 15 ways as a sum of consecutive naturals, for example, 175886 + ... + 176114.

Almost surely, 2^40304000 is an apocalyptic number.

40304000 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 40304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54896400).

40304000 is an abundant number, since it is smaller than the sum of its proper divisors (69488800).

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

40304000 is a wasteful number, since it uses less digits than its factorization.

40304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 40304000 is about 6348.5431399653. The cubic root of 40304000 is about 342.8593915196.

Adding to 40304000 its reverse (40304), we get a palindrome (40344304).

40304000 divided by its reverse (40304) gives a cube (1000 = 10³).

The spelling of 40304000 in words is "forty million, three hundred four thousand".