42525600 has 288 divisors, whose sum is σ = 157489920. Its totient is φ = 9891840.

The previous prime is 42525589. The next prime is 42525641. The reversal of 42525600 is 652524.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 904777 + ... + 904823.

It is an arithmetic number, because the mean of its divisors is an integer number (546840).

Almost surely, 2^42525600 is an apocalyptic number.

42525600 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 42525600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78744960).

42525600 is an abundant number, since it is smaller than the sum of its proper divisors (114964320).

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

42525600 is a wasteful number, since it uses less digits than its factorization.

42525600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 42525600 is about 6521.1655399936. The cubic root of 42525600 is about 349.0466573090.

The spelling of 42525600 in words is "forty-two million, five hundred twenty-five thousand, six hundred".