42458800 has 60 divisors (see below), whose sum is σ = 102750120. Its totient is φ = 16860160.

The previous prime is 42458783. The next prime is 42458807. The reversal of 42458800 is 885424.

It is not an unprimeable number, because it can be changed into a prime (42458807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71304 + ... + 71896.

It is an arithmetic number, because the mean of its divisors is an integer number (1712502).

Almost surely, 2^42458800 is an apocalyptic number.

42458800 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 42458800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51375060).

42458800 is an abundant number, since it is smaller than the sum of its proper divisors (60291320).

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

42458800 is a wasteful number, since it uses less digits than its factorization.

42458800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 42458800 is about 6516.0417432672. The cubic root of 42458800 is about 348.8637985452.

The spelling of 42458800 in words is "forty-two million, four hundred fifty-eight thousand, eight hundred".