42035280 has 160 divisors (see below), whose sum is σ = 150847488. Its totient is φ = 9484800.

The previous prime is 42035243. The next prime is 42035281. The reversal of 42035280 is 8253024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42035280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42035281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219985 + ... + 220175.

Almost surely, 2^42035280 is an apocalyptic number.

42035280 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 42035280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75423744).

42035280 is an abundant number, since it is smaller than the sum of its proper divisors (108812208).

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

42035280 is a wasteful number, since it uses less digits than its factorization.

42035280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 42035280 is about 6483.4620381398. The cubic root of 42035280 is about 347.6999659954.

The spelling of 42035280 in words is "forty-two million, thirty-five thousand, two hundred eighty".