416242944 has 162 divisors, whose sum is σ = 1300765830. Its totient is φ = 127954944.

The previous prime is 416242913. The next prime is 416242969. The reversal of 416242944 is 449242614.

It is a happy number.

416242944 is a `hidden beast` number, since 4 + 1 + 624 + 29 + 4 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 82944 + 416160000 = 288^2 + 20400^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 416242899 and 416242908.

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 388842 + ... + 389910.

Almost surely, 2^416242944 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 416242944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650382915).

416242944 is an abundant number, since it is smaller than the sum of its proper divisors (884522886).

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

416242944 is a wasteful number, since it uses less digits than its factorization.

416242944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1087 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 416242944 is about 20402.0328398912. The cubic root of 416242944 is about 746.6475221849.

The spelling of 416242944 in words is "four hundred sixteen million, two hundred forty-two thousand, nine hundred forty-four".