42276000 has 192 divisors, whose sum is σ = 149700096. Its totient is φ = 10368000.

The previous prime is 42275929. The next prime is 42276011. The reversal of 42276000 is 67224.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155865 + ... + 156135.

It is an arithmetic number, because the mean of its divisors is an integer number (779688).

Almost surely, 2^42276000 is an apocalyptic number.

42276000 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 42276000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74850048).

42276000 is an abundant number, since it is smaller than the sum of its proper divisors (107424096).

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

42276000 is a wasteful number, since it uses less digits than its factorization.

42276000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 42276000 is about 6501.9996924023. Note that the first 3 decimals coincide. The cubic root of 42276000 is about 348.3624180492.

The spelling of 42276000 in words is "forty-two million, two hundred seventy-six thousand".