40604400 has 90 divisors (see below), whose sum is σ = 140921040. Its totient is φ = 10826880.

The previous prime is 40604393. The next prime is 40604411. The reversal of 40604400 is 440604.

40604400 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 (90).

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 17 ways as a sum of consecutive naturals, for example, 2040 + ... + 9239.

Almost surely, 2^40604400 is an apocalyptic number.

40604400 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 40604400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70460520).

40604400 is an abundant number, since it is smaller than the sum of its proper divisors (100316640).

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

40604400 is a wasteful number, since it uses less digits than its factorization.

40604400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11303 (or 11289 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 40604400 is about 6372.1581901268. The cubic root of 40604400 is about 343.7091014703.

The spelling of 40604400 in words is "forty million, six hundred four thousand, four hundred".