42300288 has 96 divisors (see below), whose sum is σ = 123636240. Its totient is φ = 13879296.

The previous prime is 42300263. The next prime is 42300311. The reversal of 42300288 is 88200324.

It is a tau number, because it is divible by the number of its divisors (96).

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, 83845 + ... + 84347.

Almost surely, 2^42300288 is an apocalyptic number.

42300288 is a gapful number since it is divisible by the number (48) 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 42300288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61818120).

42300288 is an abundant number, since it is smaller than the sum of its proper divisors (81335952).

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

42300288 is a wasteful number, since it uses less digits than its factorization.

42300288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 42300288 is about 6503.8671573149. The cubic root of 42300288 is about 348.4291178837.

The spelling of 42300288 in words is "forty-two million, three hundred thousand, two hundred eighty-eight".