42816400 has 120 divisors (see below), whose sum is σ = 115689024. Its totient is φ = 15091200.

The previous prime is 42816391. The next prime is 42816401. The reversal of 42816400 is 461824.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (42816401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162669 + ... + 162931.

Almost surely, 2^42816400 is an apocalyptic number.

42816400 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 42816400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57844512).

42816400 is an abundant number, since it is smaller than the sum of its proper divisors (72872624).

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

42816400 is a wasteful number, since it uses less digits than its factorization.

42816400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 42816400 is about 6543.4241800452. The cubic root of 42816400 is about 349.8404715163.

The spelling of 42816400 in words is "forty-two million, eight hundred sixteen thousand, four hundred".