42515280 has 130 divisors (see below), whose sum is σ = 148271946. Its totient is φ = 11337408.

The previous prime is 42515279. The next prime is 42515287. The reversal of 42515280 is 8251524.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 34012224 + 8503056 = 5832^2 + 2916^2 .

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

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3 and base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42515287) 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 25 ways as a sum of consecutive naturals, for example, 8503054 + ... + 8503058.

Almost surely, 2^42515280 is an apocalyptic number.

42515280 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 42515280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74135973).

42515280 is an abundant number, since it is smaller than the sum of its proper divisors (105756666).

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

42515280 is an frugal number, since it uses more digits than its factorization.

42515280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 42515280 is about 6520.3742223894. The cubic root of 42515280 is about 349.0184197852.

The spelling of 42515280 in words is "forty-two million, five hundred fifteen thousand, two hundred eighty".