416140320 has 96 divisors (see below), whose sum is σ = 1313686080. Its totient is φ = 110730240.

The previous prime is 416140273. The next prime is 416140339. The reversal of 416140320 is 23041614.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 388746 + ... + 389814.

It is an arithmetic number, because the mean of its divisors is an integer number (13684230).

Almost surely, 2^416140320 is an apocalyptic number.

416140320 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 416140320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656843040).

416140320 is an abundant number, since it is smaller than the sum of its proper divisors (897545760).

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

416140320 is a wasteful number, since it uses less digits than its factorization.

416140320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 416140320 is about 20399.5176413561. The cubic root of 416140320 is about 746.5861555764.

Adding to 416140320 its reverse (23041614), we get a palindrome (439181934).

The spelling of 416140320 in words is "four hundred sixteen million, one hundred forty thousand, three hundred twenty".