42530880 has 112 divisors (see below), whose sum is σ = 154350720. Its totient is φ = 9719808.

The previous prime is 42530879. The next prime is 42530881. The reversal of 42530880 is 8803524.

It is an interprime number because it is at equal distance from previous prime (42530879) and next prime (42530881).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (42530881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3556 + ... + 9884.

Almost surely, 2^42530880 is an apocalyptic number.

42530880 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 42530880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77175360).

42530880 is an abundant number, since it is smaller than the sum of its proper divisors (111819840).

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

42530880 is a wasteful number, since it uses less digits than its factorization.

42530880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6356 (or 6346 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 42530880 is about 6521.5703630337. The cubic root of 42530880 is about 349.0611026477.

The spelling of 42530880 in words is "forty-two million, five hundred thirty thousand, eight hundred eighty".