42302400 has 168 divisors, whose sum is σ = 158739840. Its totient is φ = 9661440.

The previous prime is 42302399. The next prime is 42302419. The reversal of 42302400 is 420324.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 42302400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32971 + ... + 34229.

It is an arithmetic number, because the mean of its divisors is an integer number (944880).

Almost surely, 2^42302400 is an apocalyptic number.

42302400 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 42302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79369920).

42302400 is an abundant number, since it is smaller than the sum of its proper divisors (116437440).

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

42302400 is a wasteful number, since it uses less digits than its factorization.

42302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 42302400 is about 6504.0295202282. The cubic root of 42302400 is about 348.4349166626.

Adding to 42302400 its reverse (420324), we get a palindrome (42722724).

The spelling of 42302400 in words is "forty-two million, three hundred two thousand, four hundred".