42350400 has 252 divisors, whose sum is σ = 160298892. Its totient is φ = 10567680.

The previous prime is 42350389. The next prime is 42350401. The reversal of 42350400 is 405324.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2509056 + 39841344 = 1584^2 + 6312^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42350401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 244714 + ... + 244886.

Almost surely, 2^42350400 is an apocalyptic number.

42350400 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 42350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80149446).

42350400 is an abundant number, since it is smaller than the sum of its proper divisors (117948492).

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

42350400 is a wasteful number, since it uses less digits than its factorization.

42350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 42350400 is about 6507.7184942190. The cubic root of 42350400 is about 348.5666550837.

Adding to 42350400 its reverse (405324), we get a palindrome (42755724).

The spelling of 42350400 in words is "forty-two million, three hundred fifty thousand, four hundred".