42017400 has 192 divisors, whose sum is σ = 149990400. Its totient is φ = 10800000.

The previous prime is 42017383. The next prime is 42017419. The reversal of 42017400 is 471024.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167275 + ... + 167525.

It is an arithmetic number, because the mean of its divisors is an integer number (781200).

Almost surely, 2^42017400 is an apocalyptic number.

42017400 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 42017400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74995200).

42017400 is an abundant number, since it is smaller than the sum of its proper divisors (107973000).

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

42017400 is a wasteful number, since it uses less digits than its factorization.

42017400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 42017400 is about 6482.0829985430. The cubic root of 42017400 is about 347.6506601340.

Adding to 42017400 its reverse (471024), we get a palindrome (42488424).

The spelling of 42017400 in words is "forty-two million, seventeen thousand, four hundred".