42971280 has 160 divisors (see below), whose sum is σ = 149240448. Its totient is φ = 10137600.

The previous prime is 42971273. The next prime is 42971281. The reversal of 42971280 is 8217924.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (42971281) 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 31 ways as a sum of consecutive naturals, for example, 108042 + ... + 108438.

Almost surely, 2^42971280 is an apocalyptic number.

42971280 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 42971280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74620224).

42971280 is an abundant number, since it is smaller than the sum of its proper divisors (106269168).

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

42971280 is a wasteful number, since it uses less digits than its factorization.

42971280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 42971280 is about 6555.2482790509. The cubic root of 42971280 is about 350.2617905335.

The spelling of 42971280 in words is "forty-two million, nine hundred seventy-one thousand, two hundred eighty".