874456128 has 448 divisors, whose sum is σ = 3249899520. Its totient is φ = 224446464.

The previous prime is 874456073. The next prime is 874456129. The reversal of 874456128 is 821654478.

874456128 is a `hidden beast` number, since 8 + 74 + 456 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (874456129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10535575 + ... + 10535657.

It is an arithmetic number, because the mean of its divisors is an integer number (7254240).

Almost surely, 2^874456128 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 874456128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624949760).

874456128 is an abundant number, since it is smaller than the sum of its proper divisors (2375443392).

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

874456128 is a wasteful number, since it uses less digits than its factorization.

874456128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 175 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 874456128 is about 29571.2043718209. The cubic root of 874456128 is about 956.2673808452.

The spelling of 874456128 in words is "eight hundred seventy-four million, four hundred fifty-six thousand, one hundred twenty-eight".