42914800 has 60 divisors (see below), whose sum is σ = 109184976. Its totient is φ = 16153600.

The previous prime is 42914797. The next prime is 42914813. The reversal of 42914800 is 841924.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3645 + ... + 9955.

Almost surely, 2^42914800 is an apocalyptic number.

42914800 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 42914800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54592488).

42914800 is an abundant number, since it is smaller than the sum of its proper divisors (66270176).

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

42914800 is a wasteful number, since it uses less digits than its factorization.

42914800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6346 (or 6335 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 42914800 is about 6550.9388640103. The cubic root of 42914800 is about 350.1082658263.

The spelling of 42914800 in words is "forty-two million, nine hundred fourteen thousand, eight hundred".