416111364 has 48 divisors (see below), whose sum is σ = 1085091840. Its totient is φ = 137895840.

The previous prime is 416111341. The next prime is 416111383. The reversal of 416111364 is 463111614.

416111364 is a `hidden beast` number, since 41 + 611 + 1 + 3 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7549 + ... + 29819.

It is an arithmetic number, because the mean of its divisors is an integer number (22606080).

Almost surely, 2^416111364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416111364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542545920).

416111364 is an abundant number, since it is smaller than the sum of its proper divisors (668980476).

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

416111364 is a wasteful number, since it uses less digits than its factorization.

416111364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22457 (or 22449 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 416111364 is about 20398.8079063459. The cubic root of 416111364 is about 746.5688387811.

Adding to 416111364 its reverse (463111614), we get a palindrome (879222978).

The spelling of 416111364 in words is "four hundred sixteen million, one hundred eleven thousand, three hundred sixty-four".