42985600 has 192 divisors, whose sum is σ = 129009600. Its totient is φ = 13824000.

The previous prime is 42985573. The next prime is 42985603. The reversal of 42985600 is 658924.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42985603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 425550 + ... + 425650.

It is an arithmetic number, because the mean of its divisors is an integer number (671925).

Almost surely, 2^42985600 is an apocalyptic number.

42985600 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 42985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64504800).

42985600 is an abundant number, since it is smaller than the sum of its proper divisors (86024000).

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

42985600 is a wasteful number, since it uses less digits than its factorization.

42985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 42985600 is about 6556.3404426555. The cubic root of 42985600 is about 350.3006939731.

The spelling of 42985600 in words is "forty-two million, nine hundred eighty-five thousand, six hundred".