416743680 has 144 divisors (see below), whose sum is σ = 1363953024. Its totient is φ = 108380160.

The previous prime is 416743673. The next prime is 416743687. The reversal of 416743680 is 86347614.

It is an interprime number because it is at equal distance from previous prime (416743673) and next prime (416743687).

It is not an unprimeable number, because it can be changed into a prime (416743687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156117 + ... + 158763.

It is an arithmetic number, because the mean of its divisors is an integer number (9471896).

Almost surely, 2^416743680 is an apocalyptic number.

416743680 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 416743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681976512).

416743680 is an abundant number, since it is smaller than the sum of its proper divisors (947209344).

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

416743680 is a wasteful number, since it uses less digits than its factorization.

416743680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 416743680 is about 20414.3008697335. The cubic root of 416743680 is about 746.9468053137.

It can be divided in two parts, 41674 and 3680, that added together give a palindrome (45354).

The spelling of 416743680 in words is "four hundred sixteen million, seven hundred forty-three thousand, six hundred eighty".