42324000 has 96 divisors (see below), whose sum is σ = 138692736. Its totient is φ = 11283200.

The previous prime is 42323993. The next prime is 42324019. The reversal of 42324000 is 42324.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10237 + ... + 13763.

It is an arithmetic number, because the mean of its divisors is an integer number (1444716).

Almost surely, 2^42324000 is an apocalyptic number.

42324000 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 42324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69346368).

42324000 is an abundant number, since it is smaller than the sum of its proper divisors (96368736).

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

42324000 is a wasteful number, since it uses less digits than its factorization.

42324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3555 (or 3537 counting only the distinct ones).

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

The square root of 42324000 is about 6505.6898173829. The cubic root of 42324000 is about 348.4942112777.

Adding to 42324000 its reverse (42324), we get a palindrome (42366324).

42324000 divided by its reverse (42324) gives a cube (1000 = 10³).

The spelling of 42324000 in words is "forty-two million, three hundred twenty-four thousand".