40704400 has 135 divisors (see below), whose sum is σ = 111325123. Its totient is φ = 14291200.

The previous prime is 40704383. The next prime is 40704407. The reversal of 40704400 is 440704.

It is a happy number.

The square root of 40704400 is 6380.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 559504 + 40144896 = 748^2 + 6336^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40704407) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 1403586 + ... + 1403614.

Almost surely, 2^40704400 is an apocalyptic number.

40704400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

40704400 is the 6380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40704400

40704400 is an abundant number, since it is smaller than the sum of its proper divisors (70620723).

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

40704400 is a wasteful number, since it uses less digits than its factorization.

40704400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The cubic root of 40704400 is about 343.9910309542.

The spelling of 40704400 in words is "forty million, seven hundred four thousand, four hundred".