418648416 has 48 divisors (see below), whose sum is σ = 1100696688. Its totient is φ = 139328000.

The previous prime is 418648403. The next prime is 418648421. The reversal of 418648416 is 614846814.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-4 number, since 4×418648416⁴ (a number of 36 digits) contains 4444 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64186 + ... + 70406.

It is an arithmetic number, because the mean of its divisors is an integer number (22931181).

Almost surely, 2^418648416 is an apocalyptic number.

It is an amenable number.

418648416 is an abundant number, since it is smaller than the sum of its proper divisors (682048272).

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

418648416 is a wasteful number, since it uses less digits than its factorization.

418648416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6935 (or 6927 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 418648416 is about 20460.8996869639. The cubic root of 418648416 is about 748.0830548248.

The spelling of 418648416 in words is "four hundred eighteen million, six hundred forty-eight thousand, four hundred sixteen".