42803280 has 240 divisors, whose sum is σ = 164520720. Its totient is φ = 9879552.

The previous prime is 42803279. The next prime is 42803351. The reversal of 42803280 is 8230824.

It can be written as a sum of positive squares in 8 ways, for example, as 5934096 + 36869184 = 2436^2 + 6072^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158986 + ... + 159254.

It is an arithmetic number, because the mean of its divisors is an integer number (685503).

Almost surely, 2^42803280 is an apocalyptic number.

42803280 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 42803280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82260360).

42803280 is an abundant number, since it is smaller than the sum of its proper divisors (121717440).

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

42803280 is a wasteful number, since it uses less digits than its factorization.

42803280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 309 counting only the distinct ones).

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

The square root of 42803280 is about 6542.4215700305. The cubic root of 42803280 is about 349.8047346189.

The spelling of 42803280 in words is "forty-two million, eight hundred three thousand, two hundred eighty".