416540025 has 144 divisors (see below), whose sum is σ = 863516160. Its totient is φ = 190080000.

The previous prime is 416540023. The next prime is 416540057. The reversal of 416540025 is 520045614.

416540025 is a `hidden beast` number, since 4 + 1 + 654 + 0 + 0 + 2 + 5 = 666.

It is not a de Polignac number, because 416540025 - 2¹ = 416540023 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (416540023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4680181 + ... + 4680269.

It is an arithmetic number, because the mean of its divisors is an integer number (5996640).

Almost surely, 2^416540025 is an apocalyptic number.

416540025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

416540025 is an abundant number, since it is smaller than the sum of its proper divisors (446976135).

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

416540025 is a wasteful number, since it uses less digits than its factorization.

416540025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 416540025 is about 20409.3122128111. The cubic root of 416540025 is about 746.8251124163.

Adding to 416540025 its reverse (520045614), we get a palindrome (936585639).

The spelling of 416540025 in words is "four hundred sixteen million, five hundred forty thousand, twenty-five".