42825600 has 144 divisors (see below), whose sum is σ = 152914320. Its totient is φ = 11412480.

The previous prime is 42825569. The next prime is 42825611. The reversal of 42825600 is 652824.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28057 + ... + 29543.

It is an arithmetic number, because the mean of its divisors is an integer number (1061905).

Almost surely, 2^42825600 is an apocalyptic number.

42825600 is a gapful number since it is divisible by the number (40) 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 42825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76457160).

42825600 is an abundant number, since it is smaller than the sum of its proper divisors (110088720).

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

42825600 is a wasteful number, since it uses less digits than its factorization.

42825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 42825600 is about 6544.1271381293. The cubic root of 42825600 is about 349.8655265719.

The spelling of 42825600 in words is "forty-two million, eight hundred twenty-five thousand, six hundred".