42022800 has 150 divisors (see below), whose sum is σ = 150932738. Its totient is φ = 11197440.

The previous prime is 42022727. The next prime is 42022801. The reversal of 42022800 is 822024.

It can be written as a sum of positive squares in 3 ways, for example, as 14017536 + 28005264 = 3744^2 + 5292^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (42022801) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 31752 + ... + 33048.

Almost surely, 2^42022800 is an apocalyptic number.

42022800 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 42022800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75466369).

42022800 is an abundant number, since it is smaller than the sum of its proper divisors (108909938).

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

42022800 is a wasteful number, since it uses less digits than its factorization.

42022800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 42022800 is about 6482.4995179329. The cubic root of 42022800 is about 347.6655526400.

Adding to 42022800 its reverse (822024), we get a palindrome (42844824).

It can be divided in two parts, 420 and 22800, that added together give a triangular number (23220 = T₂₁₅).

The spelling of 42022800 in words is "forty-two million, twenty-two thousand, eight hundred".