416447244 has 120 divisors (see below), whose sum is σ = 1165810800. Its totient is φ = 129237120.

The previous prime is 416447237. The next prime is 416447267. The reversal of 416447244 is 442744614.

416447244 is a `hidden beast` number, since 4 + 1 + 644 + 7 + 2 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 416447199 and 416447208.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 374962 + ... + 376070.

It is an arithmetic number, because the mean of its divisors is an integer number (9715090).

Almost surely, 2^416447244 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 416447244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582905400).

416447244 is an abundant number, since it is smaller than the sum of its proper divisors (749363556).

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

416447244 is a wasteful number, since it uses less digits than its factorization.

416447244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1194 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 416447244 is about 20407.0390796901. The cubic root of 416447244 is about 746.7696585007.

The spelling of 416447244 in words is "four hundred sixteen million, four hundred forty-seven thousand, two hundred forty-four".