24472080 has 120 divisors (see below), whose sum is σ = 84291480. Its totient is φ = 6359040.

The previous prime is 24472037. The next prime is 24472081. The reversal of 24472080 is 8027442.

It can be written as a sum of positive squares in 4 ways, for example, as 147456 + 24324624 = 384^2 + 4932^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24472081) 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 23 ways as a sum of consecutive naturals, for example, 29106 + ... + 29934.

It is an arithmetic number, because the mean of its divisors is an integer number (702429).

Almost surely, 2^24472080 is an apocalyptic number.

24472080 is a gapful number since it is divisible by the number (20) 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 24472080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42145740).

24472080 is an abundant number, since it is smaller than the sum of its proper divisors (59819400).

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

24472080 is a wasteful number, since it uses less digits than its factorization.

24472080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 24472080 is about 4946.9263184325. The cubic root of 24472080 is about 290.3289173288.

The spelling of 24472080 in words is "twenty-four million, four hundred seventy-two thousand, eighty".