42982800 has 360 divisors, whose sum is σ = 173533536. Its totient is φ = 9031680.

The previous prime is 42982799. The next prime is 42982811. The reversal of 42982800 is 828924.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 999579 + ... + 999621.

Almost surely, 2^42982800 is an apocalyptic number.

42982800 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 42982800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86766768).

42982800 is an abundant number, since it is smaller than the sum of its proper divisors (130550736).

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

42982800 is a wasteful number, since it uses less digits than its factorization.

42982800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 42982800 is about 6556.1269054221. The cubic root of 42982800 is about 350.2930878349.

The spelling of 42982800 in words is "forty-two million, nine hundred eighty-two thousand, eight hundred".