42306880 has 224 divisors, whose sum is σ = 134307072. Its totient is φ = 12288000.

The previous prime is 42306877. The next prime is 42306889. The reversal of 42306880 is 8860324.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42306889) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418830 + ... + 418930.

Almost surely, 2^42306880 is an apocalyptic number.

42306880 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 42306880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67153536).

42306880 is an abundant number, since it is smaller than the sum of its proper divisors (92000192).

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

42306880 is a wasteful number, since it uses less digits than its factorization.

42306880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 42306880 is about 6504.3739129912. The cubic root of 42306880 is about 348.4472164637.

The spelling of 42306880 in words is "forty-two million, three hundred six thousand, eight hundred eighty".