416774016 has 96 divisors (see below), whose sum is σ = 1204034520. Its totient is φ = 138378240.

The previous prime is 416773999. The next prime is 416774027. The reversal of 416774016 is 610477614.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 380766 + ... + 381858.

Almost surely, 2^416774016 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 416774016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602017260).

416774016 is an abundant number, since it is smaller than the sum of its proper divisors (787260504).

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

416774016 is a wasteful number, since it uses less digits than its factorization.

416774016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 416774016 is about 20415.0438647582. The cubic root of 416774016 is about 746.9649290266.

The spelling of 416774016 in words is "four hundred sixteen million, seven hundred seventy-four thousand, sixteen".