42300324 has 72 divisors (see below), whose sum is σ = 119840448. Its totient is φ = 12467520.

The previous prime is 42300311. The next prime is 42300331.

42300324 is a `hidden beast` number, since 42 + 300 + 324 = 666.

42300324 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42300297 and 42300306.

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, 13209 + ... + 16095.

Almost surely, 2^42300324 is an apocalyptic number.

42300324 is a gapful number since it is divisible by the number (44) 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 42300324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59920224).

42300324 is an abundant number, since it is smaller than the sum of its proper divisors (77540124).

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

42300324 is a wasteful number, since it uses less digits than its factorization.

42300324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2945 (or 2940 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 42300324 is about 6503.8699248986. The cubic root of 42300324 is about 348.4292167282.

It can be divided in two parts, 42300 and 324, that added together give a palindrome (42624).

The spelling of 42300324 in words is "forty-two million, three hundred thousand, three hundred twenty-four".