416120625 has 40 divisors (see below), whose sum is σ = 770378400. Its totient is φ = 221922000.

The previous prime is 416120609. The next prime is 416120633. The reversal of 416120625 is 526021614.

416120625 is a `hidden beast` number, since 4 + 16 + 1 + 20 + 625 = 666.

It is not a de Polignac number, because 416120625 - 2⁴ = 416120609 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 4546 + ... + 29204.

It is an arithmetic number, because the mean of its divisors is an integer number (19259460).

Almost surely, 2^416120625 is an apocalyptic number.

416120625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

416120625 is a deficient number, since it is larger than the sum of its proper divisors (354257775).

416120625 is an equidigital number, since it uses as much as digits as its factorization.

416120625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24688 (or 24667 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 416120625 is about 20399.0349036419. The cubic root of 416120625 is about 746.5743773006.

The spelling of 416120625 in words is "four hundred sixteen million, one hundred twenty thousand, six hundred twenty-five".