416848720 has 20 divisors (see below), whose sum is σ = 969173460. Its totient is φ = 166739456.

The previous prime is 416848717. The next prime is 416848727. The reversal of 416848720 is 27848614.

It can be written as a sum of positive squares in 2 ways, for example, as 56911936 + 359936784 = 7544^2 + 18972^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416848727) 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 3 ways as a sum of consecutive naturals, for example, 2605225 + ... + 2605384.

It is an arithmetic number, because the mean of its divisors is an integer number (48458673).

Almost surely, 2^416848720 is an apocalyptic number.

416848720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416848720 is an abundant number, since it is smaller than the sum of its proper divisors (552324740).

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

416848720 is a wasteful number, since it uses less digits than its factorization.

416848720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5210622 (or 5210616 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 416848720 is about 20416.8734139192. The cubic root of 416848720 is about 747.0095558766.

The spelling of 416848720 in words is "four hundred sixteen million, eight hundred forty-eight thousand, seven hundred twenty".