874545984 has 280 divisors, whose sum is σ = 2943087840. Its totient is φ = 254555136.

The previous prime is 874545983. The next prime is 874546007. The reversal of 874545984 is 489545478.

It is a happy number.

874545984 is a `hidden beast` number, since 8 + 7 + 4 + 545 + 98 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (6451200) is a multiple of the sum of its prime divisors (720).

It is a self number, because there is not a number n which added to its sum of digits gives 874545984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (874545983) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1280107 + ... + 1280789.

It is an arithmetic number, because the mean of its divisors is an integer number (10511028).

Almost surely, 2^874545984 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 874545984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471543920).

874545984 is an abundant number, since it is smaller than the sum of its proper divisors (2068541856).

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

874545984 is a wasteful number, since it uses less digits than its factorization.

874545984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 720 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The square root of 874545984 is about 29572.7236486598. The cubic root of 874545984 is about 956.3001339344.

The spelling of 874545984 in words is "eight hundred seventy-four million, five hundred forty-five thousand, nine hundred eighty-four".