42451200 has 324 divisors, whose sum is σ = 168041328. Its totient is φ = 10137600.

The previous prime is 42451153. The next prime is 42451207. The reversal of 42451200 is 215424.

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 (42451207) 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, 633567 + ... + 633633.

Almost surely, 2^42451200 is an apocalyptic number.

42451200 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 42451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84020664).

42451200 is an abundant number, since it is smaller than the sum of its proper divisors (125590128).

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

42451200 is a wasteful number, since it uses less digits than its factorization.

42451200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 42451200 is about 6515.4585410391. The cubic root of 42451200 is about 348.8429821060.

Adding to 42451200 its reverse (215424), we get a palindrome (42666624).

It can be divided in two parts, 4245 and 1200, that added together give a palindrome (5445).

The spelling of 42451200 in words is "forty-two million, four hundred fifty-one thousand, two hundred".