42206400 has 168 divisors, whose sum is σ = 154015440. Its totient is φ = 11243520.

The previous prime is 42206399. The next prime is 42206401. The reversal of 42206400 is 460224.

42206400 is a `hidden beast` number, since 4 + 2 + 20 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42206399) and next prime (42206401).

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

It is not an unprimeable number, because it can be changed into a prime (42206401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42712 + ... + 43688.

Almost surely, 2^42206400 is an apocalyptic number.

42206400 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 42206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77007720).

42206400 is an abundant number, since it is smaller than the sum of its proper divisors (111809040).

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

42206400 is a wasteful number, since it uses less digits than its factorization.

42206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42206400 is about 6496.6452881468. The cubic root of 42206400 is about 348.1711405546.

Adding to 42206400 its reverse (460224), we get a palindrome (42666624).

The spelling of 42206400 in words is "forty-two million, two hundred six thousand, four hundred".