874486800 has 480 divisors, whose sum is σ = 3603519360. Its totient is φ = 199065600.

The previous prime is 874486777. The next prime is 874486819. The reversal of 874486800 is 8684478.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 2019384 + ... + 2019816.

It is an arithmetic number, because the mean of its divisors is an integer number (7507332).

Almost surely, 2^874486800 is an apocalyptic number.

874486800 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 874486800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801759680).

874486800 is an abundant number, since it is smaller than the sum of its proper divisors (2729032560).

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

874486800 is a wasteful number, since it uses less digits than its factorization.

874486800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 874486800 is about 29571.7229799009. The cubic root of 874486800 is about 956.2785612384.

The spelling of 874486800 in words is "eight hundred seventy-four million, four hundred eighty-six thousand, eight hundred".