40539200 has 84 divisors (see below), whose sum is σ = 107480100. Its totient is φ = 14960640.

The previous prime is 40539193. The next prime is 40539209. The reversal of 40539200 is 293504.

It can be written as a sum of positive squares in 6 ways, for example, as 1201216 + 39337984 = 1096^2 + 6272^2 .

It is not an unprimeable number, because it can be changed into a prime (40539209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19826 + ... + 21774.

It is an arithmetic number, because the mean of its divisors is an integer number (1279525).

Almost surely, 2^40539200 is an apocalyptic number.

40539200 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 40539200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53740050).

40539200 is an abundant number, since it is smaller than the sum of its proper divisors (66940900).

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

40539200 is a wasteful number, since it uses less digits than its factorization.

40539200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 40539200 is about 6367.0401286626. The cubic root of 40539200 is about 343.5250340712.

The spelling of 40539200 in words is "forty million, five hundred thirty-nine thousand, two hundred".