42872480 has 96 divisors (see below), whose sum is σ = 117210240. Its totient is φ = 14515200.

The previous prime is 42872399. The next prime is 42872491. The reversal of 42872480 is 8427824.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 42872480.

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 15 ways as a sum of consecutive naturals, for example, 112931 + ... + 113309.

It is an arithmetic number, because the mean of its divisors is an integer number (1220940).

Almost surely, 2^42872480 is an apocalyptic number.

42872480 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 42872480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58605120).

42872480 is an abundant number, since it is smaller than the sum of its proper divisors (74337760).

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

42872480 is a wasteful number, since it uses less digits than its factorization.

42872480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 35.

The square root of 42872480 is about 6547.7079959326. The cubic root of 42872480 is about 349.9931427228.

The spelling of 42872480 in words is "forty-two million, eight hundred seventy-two thousand, four hundred eighty".