42271600 has 120 divisors (see below), whose sum is σ = 120055808. Its totient is φ = 13996800.

The previous prime is 42271583. The next prime is 42271601. The reversal of 42271600 is 617224.

42271600 = T₂₄₅ + T₂₄₆ + ... + T₆₄₄.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42271601) 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, 86557 + ... + 87043.

Almost surely, 2^42271600 is an apocalyptic number.

42271600 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 42271600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60027904).

42271600 is an abundant number, since it is smaller than the sum of its proper divisors (77784208).

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

42271600 is a wasteful number, since it uses less digits than its factorization.

42271600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 42271600 is about 6501.6613261535. The cubic root of 42271600 is about 348.3503320129.

Adding to 42271600 its reverse (617224), we get a palindrome (42888824).

The spelling of 42271600 in words is "forty-two million, two hundred seventy-one thousand, six hundred".