416461368 has 64 divisors (see below), whose sum is σ = 1094549760. Its totient is φ = 131791616.

The previous prime is 416461327. The next prime is 416461369. The reversal of 416461368 is 863164614.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416461369) by changing a digit.

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, 72871 + ... + 78377.

It is an arithmetic number, because the mean of its divisors is an integer number (17102340).

Almost surely, 2^416461368 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 416461368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547274880).

416461368 is an abundant number, since it is smaller than the sum of its proper divisors (678088392).

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

416461368 is a wasteful number, since it uses less digits than its factorization.

416461368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5676 (or 5672 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 416461368 is about 20407.3851338186. The cubic root of 416461368 is about 746.7781007509.

The spelling of 416461368 in words is "four hundred sixteen million, four hundred sixty-one thousand, three hundred sixty-eight".