42179280 has 160 divisors (see below), whose sum is σ = 153740160. Its totient is φ = 9431040.

The previous prime is 42179273. The next prime is 42179321. The reversal of 42179280 is 8297124.

It is a happy number.

It is a super-2 number, since 2×42179280² = 3558183322636800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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, 33706 + ... + 34934.

It is an arithmetic number, because the mean of its divisors is an integer number (960876).

Almost surely, 2^42179280 is an apocalyptic number.

42179280 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 42179280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76870080).

42179280 is an abundant number, since it is smaller than the sum of its proper divisors (111560880).

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

42179280 is a wasteful number, since it uses less digits than its factorization.

42179280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1263 counting only the distinct ones).

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

The square root of 42179280 is about 6494.5577216620. The cubic root of 42179280 is about 348.0965513574.

The spelling of 42179280 in words is "forty-two million, one hundred seventy-nine thousand, two hundred eighty".