42945600 has 168 divisors, whose sum is σ = 147401280. Its totient is φ = 10926080.

The previous prime is 42945589. The next prime is 42945619. The reversal of 42945600 is 654924.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110206 + ... + 110594.

Almost surely, 2^42945600 is an apocalyptic number.

42945600 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 42945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73700640).

42945600 is an abundant number, since it is smaller than the sum of its proper divisors (104455680).

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

42945600 is a wasteful number, since it uses less digits than its factorization.

42945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 42945600 is about 6553.2892504452. The cubic root of 42945600 is about 350.1920034947.

The spelling of 42945600 in words is "forty-two million, nine hundred forty-five thousand, six hundred".