42320400 has 60 divisors (see below), whose sum is σ = 135570192. Its totient is φ = 11285120.

The previous prime is 42320389. The next prime is 42320401. The reversal of 42320400 is 402324.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

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 42320400.

It is not an unprimeable number, because it can be changed into a prime (42320401) 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, 16434 + ... + 18833.

Almost surely, 2^42320400 is an apocalyptic number.

42320400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42320400 is an abundant number, since it is smaller than the sum of its proper divisors (93249792).

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

42320400 is a wasteful number, since it uses less digits than its factorization.

42320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35288 (or 35277 counting only the distinct ones).

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

The square root of 42320400 is about 6505.4131306167. The cubic root of 42320400 is about 348.4843302431.

Adding to 42320400 its reverse (402324), we get a palindrome (42722724).

The spelling of 42320400 in words is "forty-two million, three hundred twenty thousand, four hundred".