874416384 has 90 divisors (see below), whose sum is σ = 2607413270. Its totient is φ = 291465216.

The previous prime is 874416383. The next prime is 874416407. The reversal of 874416384 is 483614478.

874416384 is a `hidden beast` number, since 8 + 7 + 4 + 4 + 1 + 638 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 871430400 + 2985984 = 29520^2 + 1728^2 .

It is a super-3 number, since 3×874416384³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (874416383) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 349 + ... + 41820.

Almost surely, 2^874416384 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 874416384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303706635).

874416384 is an abundant number, since it is smaller than the sum of its proper divisors (1732996886).

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

874416384 is an equidigital number, since it uses as much as digits as its factorization.

874416384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42197 (or 42174 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 874416384 is about 29570.5323590902. The cubic root of 874416384 is about 956.2528931862.

The spelling of 874416384 in words is "eight hundred seventy-four million, four hundred sixteen thousand, three hundred eighty-four".