416782044 has 96 divisors (see below), whose sum is σ = 1260224000. Its totient is φ = 119070000.

The previous prime is 416782033. The next prime is 416782049. The reversal of 416782044 is 440287614.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416782049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31419 + ... + 42669.

Almost surely, 2^416782044 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 416782044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630112000).

416782044 is an abundant number, since it is smaller than the sum of its proper divisors (843441956).

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

416782044 is a wasteful number, since it uses less digits than its factorization.

416782044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11285 (or 11263 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 416782044 is about 20415.2404835211. The cubic root of 416782044 is about 746.9697250678.

The spelling of 416782044 in words is "four hundred sixteen million, seven hundred eighty-two thousand, forty-four".