40406625 has 72 divisors (see below), whose sum is σ = 84847464. Its totient is φ = 18446400.

The previous prime is 40406593. The next prime is 40406629. The reversal of 40406625 is 52660404.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 451584 + 39955041 = 672^2 + 6321^2 .

It is not a de Polignac number, because 40406625 - 2⁵ = 40406593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40406629) 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 71 ways as a sum of consecutive naturals, for example, 54759 + ... + 55491.

It is an arithmetic number, because the mean of its divisors is an integer number (1178437).

Almost surely, 2^40406625 is an apocalyptic number.

40406625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40406625 is an abundant number, since it is smaller than the sum of its proper divisors (44440839).

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

40406625 is a wasteful number, since it uses less digits than its factorization.

40406625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 40406625 is about 6356.6205644194. The cubic root of 40406625 is about 343.1501494501.

The spelling of 40406625 in words is "forty million, four hundred six thousand, six hundred twenty-five".