416541320 has 64 divisors (see below), whose sum is σ = 1018710000. Its totient is φ = 152368128.

The previous prime is 416541317. The next prime is 416541337. The reversal of 416541320 is 23145614.

It can be written as a sum of positive squares in 8 ways, for example, as 179935396 + 236605924 = 13414^2 + 15382^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 416541320.

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, 53006 + ... + 60354.

Almost surely, 2^416541320 is an apocalyptic number.

416541320 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 416541320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509355000).

416541320 is an abundant number, since it is smaller than the sum of its proper divisors (602168680).

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

416541320 is a wasteful number, since it uses less digits than its factorization.

416541320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7482 (or 7478 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 416541320 is about 20409.3439385003. The cubic root of 416541320 is about 746.8258863615.

Adding to 416541320 its reverse (23145614), we get a palindrome (439686934).

The spelling of 416541320 in words is "four hundred sixteen million, five hundred forty-one thousand, three hundred twenty".