42224400 has 180 divisors, whose sum is σ = 150965412. Its totient is φ = 10920960.

The previous prime is 42224393. The next prime is 42224401. The reversal of 42224400 is 442224.

42224400 is a `hidden beast` number, since 4 + 222 + 440 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1468944 + 40755456 = 1212^2 + 6384^2 .

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

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 (42224401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 133042 + ... + 133358.

Almost surely, 2^42224400 is an apocalyptic number.

42224400 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 42224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75482706).

42224400 is an abundant number, since it is smaller than the sum of its proper divisors (108741012).

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

42224400 is a wasteful number, since it uses less digits than its factorization.

42224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 42224400 is about 6498.0304708427. The cubic root of 42224400 is about 348.2206290194.

Adding to 42224400 its reverse (442224), we get a palindrome (42666624).

It can be divided in two parts, 42224 and 400, that added together give a palindrome (42624).

The spelling of 42224400 in words is "forty-two million, two hundred twenty-four thousand, four hundred".