874456320 has 144 divisors (see below), whose sum is σ = 2914515072. Its totient is φ = 223027200.

The previous prime is 874456313. The next prime is 874456321. The reversal of 874456320 is 23654478.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (874456321) 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 15 ways as a sum of consecutive naturals, for example, 83370 + ... + 93270.

It is an arithmetic number, because the mean of its divisors is an integer number (20239688).

Almost surely, 2^874456320 is an apocalyptic number.

874456320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 874456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457257536).

874456320 is an abundant number, since it is smaller than the sum of its proper divisors (2040058752).

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

874456320 is a wasteful number, since it uses less digits than its factorization.

874456320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9948 (or 9934 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 874456320 is about 29571.2076182222. The cubic root of 874456320 is about 956.2674508328.

The spelling of 874456320 in words is "eight hundred seventy-four million, four hundred fifty-six thousand, three hundred twenty".