42276600 has 96 divisors (see below), whose sum is σ = 145638000. Its totient is φ = 11272320.

The previous prime is 42276587. The next prime is 42276601. The reversal of 42276600 is 667224.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42276601) 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, 1486 + ... + 9314.

Almost surely, 2^42276600 is an apocalyptic number.

42276600 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 42276600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72819000).

42276600 is an abundant number, since it is smaller than the sum of its proper divisors (103361400).

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

42276600 is a wasteful number, since it uses less digits than its factorization.

42276600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7854 (or 7839 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 42276600 is about 6502.0458318901. The cubic root of 42276600 is about 348.3640660801.

The spelling of 42276600 in words is "forty-two million, two hundred seventy-six thousand, six hundred".