416563680 has 192 divisors, whose sum is σ = 1424098368. Its totient is φ = 101744640.

The previous prime is 416563643. The next prime is 416563681. The reversal of 416563680 is 86365614.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416563681) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1503702 + ... + 1503978.

It is an arithmetic number, because the mean of its divisors is an integer number (7417179).

Almost surely, 2^416563680 is an apocalyptic number.

416563680 is a gapful number since it is divisible by the number (40) 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 416563680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712049184).

416563680 is an abundant number, since it is smaller than the sum of its proper divisors (1007534688).

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

416563680 is a wasteful number, since it uses less digits than its factorization.

416563680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 416563680 is about 20409.8917194580. The cubic root of 416563680 is about 746.8392493640.

The spelling of 416563680 in words is "four hundred sixteen million, five hundred sixty-three thousand, six hundred eighty".