874425600 has 648 divisors, whose sum is σ = 3558522240. Its totient is φ = 203489280.

The previous prime is 874425599. The next prime is 874425611. The reversal of 874425600 is 6524478.

874425600 is a `hidden beast` number, since 8 + 7 + 4 + 42 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18604777 + ... + 18604823.

Almost surely, 2^874425600 is an apocalyptic number.

874425600 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 874425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779261120).

874425600 is an abundant number, since it is smaller than the sum of its proper divisors (2684096640).

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

874425600 is a wasteful number, since it uses less digits than its factorization.

874425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 874425600 is about 29570.6881894893. The cubic root of 874425600 is about 956.2562526824.

The spelling of 874425600 in words is "eight hundred seventy-four million, four hundred twenty-five thousand, six hundred".