42245280 has 384 divisors, whose sum is σ = 185794560. Its totient is φ = 8709120.

The previous prime is 42245279. The next prime is 42245311. The reversal of 42245280 is 8254224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 332577 + ... + 332703.

It is an arithmetic number, because the mean of its divisors is an integer number (483840).

Almost surely, 2^42245280 is an apocalyptic number.

42245280 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 42245280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92897280).

42245280 is an abundant number, since it is smaller than the sum of its proper divisors (143549280).

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

42245280 is a wasteful number, since it uses less digits than its factorization.

42245280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 42245280 is about 6499.6369129360. The cubic root of 42245280 is about 348.2780180218.

The spelling of 42245280 in words is "forty-two million, two hundred forty-five thousand, two hundred eighty".