42390880 has 72 divisors (see below), whose sum is σ = 116520768. Its totient is φ = 14531328.

The previous prime is 42390871. The next prime is 42390883. The reversal of 42390880 is 8809324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42390883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5137 + ... + 10543.

It is an arithmetic number, because the mean of its divisors is an integer number (1618344).

Almost surely, 2^42390880 is an apocalyptic number.

42390880 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 42390880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58260384).

42390880 is an abundant number, since it is smaller than the sum of its proper divisors (74129888).

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

42390880 is a wasteful number, since it uses less digits than its factorization.

42390880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5436 (or 5421 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 42390880 is about 6510.8279043452. The cubic root of 42390880 is about 348.6776771360.

The spelling of 42390880 in words is "forty-two million, three hundred ninety thousand, eight hundred eighty".