42268800 has 384 divisors, whose sum is σ = 173024640. Its totient is φ = 8847360.

The previous prime is 42268799. The next prime is 42268801. The reversal of 42268800 is 886224.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42268799) and next prime (42268801).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (42268801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1142382 + ... + 1142418.

It is an arithmetic number, because the mean of its divisors is an integer number (450585).

Almost surely, 2^42268800 is an apocalyptic number.

42268800 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 42268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86512320).

42268800 is an abundant number, since it is smaller than the sum of its proper divisors (130755840).

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

42268800 is a wasteful number, since it uses less digits than its factorization.

42268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 42268800 is about 6501.4459930080. The cubic root of 42268800 is about 348.3426404621.

It can be divided in two parts, 42 and 268800, that multiplied together give a square (11289600 = 3360²).

The spelling of 42268800 in words is "forty-two million, two hundred sixty-eight thousand, eight hundred".