42814800 has 180 divisors, whose sum is σ = 169904800. Its totient is φ = 9780480.

The previous prime is 42814781. The next prime is 42814801. The reversal of 42814800 is 841824.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-3 number, since 3×42814800³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42814801) 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 35 ways as a sum of consecutive naturals, for example, 24351 + ... + 26049.

Almost surely, 2^42814800 is an apocalyptic number.

42814800 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 42814800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84952400).

42814800 is an abundant number, since it is smaller than the sum of its proper divisors (127090000).

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

42814800 is a wasteful number, since it uses less digits than its factorization.

42814800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 42814800 is about 6543.3019187563. The cubic root of 42814800 is about 349.8361137490.

The spelling of 42814800 in words is "forty-two million, eight hundred fourteen thousand, eight hundred".