416544768 has 216 divisors, whose sum is σ = 1289564640. Its totient is φ = 134369280.

The previous prime is 416544763. The next prime is 416544769. The reversal of 416544768 is 867445614.

416544768 is a `hidden beast` number, since 41 + 6 + 544 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

Its product of digits (645120) is a multiple of the sum of its prime divisors (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416544763) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13436913 + ... + 13436943.

Almost surely, 2^416544768 is an apocalyptic number.

416544768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416544768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644782320).

416544768 is an abundant number, since it is smaller than the sum of its proper divisors (873019872).

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

416544768 is an frugal number, since it uses more digits than its factorization.

416544768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 36 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 416544768 is about 20409.4284094386. The cubic root of 416544768 is about 746.8279470203.

The spelling of 416544768 in words is "four hundred sixteen million, five hundred forty-four thousand, seven hundred sixty-eight".