42277600 has 72 divisors (see below), whose sum is σ = 105696360. Its totient is φ = 16504320.

The previous prime is 42277597. The next prime is 42277619. The reversal of 42277600 is 677224.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33786 + ... + 35014.

It is an arithmetic number, because the mean of its divisors is an integer number (1468005).

Almost surely, 2^42277600 is an apocalyptic number.

42277600 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 42277600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52848180).

42277600 is an abundant number, since it is smaller than the sum of its proper divisors (63418760).

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

42277600 is a wasteful number, since it uses less digits than its factorization.

42277600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 42277600 is about 6502.1227303089. The cubic root of 42277600 is about 348.3668127636.

The spelling of 42277600 in words is "forty-two million, two hundred seventy-seven thousand, six hundred".