416640384 has 96 divisors (see below), whose sum is σ = 1203265440. Its totient is φ = 138378240.

The previous prime is 416640349. The next prime is 416640397. The reversal of 416640384 is 483046614.

416640384 is a `hidden beast` number, since 4 + 1 + 6 + 640 + 3 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

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 11 ways as a sum of consecutive naturals, for example, 456889 + ... + 457799.

It is an arithmetic number, because the mean of its divisors is an integer number (12534015).

Almost surely, 2^416640384 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 416640384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601632720).

416640384 is an abundant number, since it is smaller than the sum of its proper divisors (786625056).

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

416640384 is a wasteful number, since it uses less digits than its factorization.

416640384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1313 counting only the distinct ones).

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

The square root of 416640384 is about 20411.7707218164. The cubic root of 416640384 is about 746.8850863270.

Adding to 416640384 its reverse (483046614), we get a palindrome (899686998).

The spelling of 416640384 in words is "four hundred sixteen million, six hundred forty thousand, three hundred eighty-four".