42993600 has 252 divisors, whose sum is σ = 155621736. Its totient is φ = 10383360.

The previous prime is 42993583. The next prime is 42993607. The reversal of 42993600 is 639924.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42993607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 811174 + ... + 811226.

Almost surely, 2^42993600 is an apocalyptic number.

42993600 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 42993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77810868).

42993600 is an abundant number, since it is smaller than the sum of its proper divisors (112628136).

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

42993600 is a wasteful number, since it uses less digits than its factorization.

42993600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 42993600 is about 6556.9505107176. The cubic root of 42993600 is about 350.3224239766.

The spelling of 42993600 in words is "forty-two million, nine hundred ninety-three thousand, six hundred".