42785280 has 160 divisors (see below), whose sum is σ = 152222400. Its totient is φ = 11390976.

The previous prime is 42785279. The next prime is 42785287. The reversal of 42785280 is 8258724.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42785287) 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, 68811 + ... + 69429.

It is an arithmetic number, because the mean of its divisors is an integer number (951390).

Almost surely, 2^42785280 is an apocalyptic number.

42785280 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 42785280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76111200).

42785280 is an abundant number, since it is smaller than the sum of its proper divisors (109437120).

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

42785280 is an equidigital number, since it uses as much as digits as its factorization.

42785280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 42785280 is about 6541.0457879455. The cubic root of 42785280 is about 349.7556934547.

The spelling of 42785280 in words is "forty-two million, seven hundred eighty-five thousand, two hundred eighty".