42745280 has 84 divisors (see below), whose sum is σ = 105933240. Its totient is φ = 16427520.

The previous prime is 42745277. The next prime is 42745289. The reversal of 42745280 is 8254724.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42745289) 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, 307451 + ... + 307589.

It is an arithmetic number, because the mean of its divisors is an integer number (1261110).

Almost surely, 2^42745280 is an apocalyptic number.

42745280 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 42745280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52966620).

42745280 is an abundant number, since it is smaller than the sum of its proper divisors (63187960).

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

42745280 is a wasteful number, since it uses less digits than its factorization.

42745280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The square root of 42745280 is about 6537.9874579262. The cubic root of 42745280 is about 349.6466638240.

The spelling of 42745280 in words is "forty-two million, seven hundred forty-five thousand, two hundred eighty".