42463200 has 144 divisors (see below), whose sum is σ = 148959216. Its totient is φ = 10444800.

The previous prime is 42463199. The next prime is 42463207. The reversal of 42463200 is 236424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42463207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30520 + ... + 31880.

It is an arithmetic number, because the mean of its divisors is an integer number (1034439).

Almost surely, 2^42463200 is an apocalyptic number.

42463200 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 42463200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74479608).

42463200 is an abundant number, since it is smaller than the sum of its proper divisors (106496016).

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

42463200 is a wasteful number, since it uses less digits than its factorization.

42463200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 42463200 is about 6516.3793628057. The cubic root of 42463200 is about 348.8758490325.

Adding to 42463200 its reverse (236424), we get a palindrome (42699624).

The spelling of 42463200 in words is "forty-two million, four hundred sixty-three thousand, two hundred".