416785425 has 144 divisors (see below), whose sum is σ = 868515840. Its totient is φ = 175271040.

The previous prime is 416785423. The next prime is 416785441. The reversal of 416785425 is 524587614.

It is a happy number.

It is not a de Polignac number, because 416785425 - 2¹ = 416785423 is a prime.

It is not an unprimeable number, because it can be changed into a prime (416785423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3281712 + ... + 3281838.

It is an arithmetic number, because the mean of its divisors is an integer number (6031360).

Almost surely, 2^416785425 is an apocalyptic number.

It is an amenable number.

416785425 is an abundant number, since it is smaller than the sum of its proper divisors (451730415).

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

416785425 is a wasteful number, since it uses less digits than its factorization.

416785425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 208 counting only the distinct ones).

The product of its digits is 268800, while the sum is 42.

The square root of 416785425 is about 20415.3232891375. The cubic root of 416785425 is about 746.9717449067.

The spelling of 416785425 in words is "four hundred sixteen million, seven hundred eighty-five thousand, four hundred twenty-five".