874303200 has 288 divisors, whose sum is σ = 3349473120. Its totient is φ = 219340800.

The previous prime is 874303193. The next prime is 874303201. The reversal of 874303200 is 2303478.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (874303201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 366010 + ... + 368390.

It is an arithmetic number, because the mean of its divisors is an integer number (11630115).

Almost surely, 2^874303200 is an apocalyptic number.

874303200 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 874303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674736560).

874303200 is an abundant number, since it is smaller than the sum of its proper divisors (2475169920).

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

874303200 is a wasteful number, since it uses less digits than its factorization.

874303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2427 (or 2408 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 874303200 is about 29568.6185000247. The cubic root of 874303200 is about 956.2116324475.

Adding to 874303200 its reverse (2303478), we get a palindrome (876606678).

It can be divided in two parts, 874303 and 200, that added together give a triangular number (874503 = T₁₃₂₂).

The spelling of 874303200 in words is "eight hundred seventy-four million, three hundred three thousand, two hundred".