874335000 has 320 divisors, whose sum is σ = 3409908480. Its totient is φ = 181440000.

The previous prime is 874334977. The next prime is 874335017. The reversal of 874335000 is 533478.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1154622 + ... + 1155378.

It is an arithmetic number, because the mean of its divisors is an integer number (10655964).

Almost surely, 2^874335000 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 874335000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704954240).

874335000 is an abundant number, since it is smaller than the sum of its proper divisors (2535573480).

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

874335000 is a wasteful number, since it uses less digits than its factorization.

874335000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 874335000 is about 29569.1562273934. The cubic root of 874335000 is about 956.2232253599.

Adding to 874335000 its reverse (533478), we get a palindrome (874868478).

The spelling of 874335000 in words is "eight hundred seventy-four million, three hundred thirty-five thousand".