42310400 has 108 divisors (see below), whose sum is σ = 114435384. Its totient is φ = 15360000.

The previous prime is 42310369. The next prime is 42310403. The reversal of 42310400 is 401324.

It is not an unprimeable number, because it can be changed into a prime (42310403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70100 + ... + 70700.

Almost surely, 2^42310400 is an apocalyptic number.

42310400 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 42310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57217692).

42310400 is an abundant number, since it is smaller than the sum of its proper divisors (72124984).

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

42310400 is a wasteful number, since it uses less digits than its factorization.

42310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 42310400 is about 6504.6444945131. The cubic root of 42310400 is about 348.4568799841.

Adding to 42310400 its reverse (401324), we get a palindrome (42711724).

It can be divided in two parts, 4 and 2310400, that multiplied together give a square (9241600 = 3040²).

The spelling of 42310400 in words is "forty-two million, three hundred ten thousand, four hundred".