416848680 has 80 divisors (see below), whose sum is σ = 1401085620. Its totient is φ = 111158784.

The previous prime is 416848669. The next prime is 416848693. The reversal of 416848680 is 86848614.

416848680 is a `hidden beast` number, since 4 + 168 + 486 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 407151684 + 9696996 = 20178^2 + 3114^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 61089 + ... + 67568.

Almost surely, 2^416848680 is an apocalyptic number.

416848680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416848680 is an abundant number, since it is smaller than the sum of its proper divisors (984236940).

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

416848680 is a wasteful number, since it uses less digits than its factorization.

416848680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128680 (or 128667 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 416848680 is about 20416.8724343372. The cubic root of 416848680 is about 747.0095319827.

The spelling of 416848680 in words is "four hundred sixteen million, eight hundred forty-eight thousand, six hundred eighty".