42406400 has 60 divisors (see below), whose sum is σ = 105096882. Its totient is φ = 16957440.

The previous prime is 42406391. The next prime is 42406433. The reversal of 42406400 is 460424.

It can be written as a sum of positive squares in 3 ways, for example, as 39137536 + 3268864 = 6256^2 + 1808^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11144 + ... + 14456.

Almost surely, 2^42406400 is an apocalyptic number.

42406400 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 42406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52548441).

42406400 is an abundant number, since it is smaller than the sum of its proper divisors (62690482).

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

42406400 is an equidigital number, since it uses as much as digits as its factorization.

42406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3341 (or 3320 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 42406400 is about 6512.0196559900. The cubic root of 42406400 is about 348.7202241593.

Adding to 42406400 its reverse (460424), we get a palindrome (42866824).

It can be divided in two parts, 42406 and 400, that multiplied together give a triangular number (16962400 = T₅₈₂₄).

The spelling of 42406400 in words is "forty-two million, four hundred six thousand, four hundred".