42449680 has 200 divisors, whose sum is σ = 131288472. Its totient is φ = 12644352.

The previous prime is 42449647. The next prime is 42449683. The reversal of 42449680 is 8694424.

It can be written as a sum of positive squares in 4 ways, for example, as 3111696 + 39337984 = 1764^2 + 6272^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42449683) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2497032 + ... + 2497048.

Almost surely, 2^42449680 is an apocalyptic number.

42449680 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 42449680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65644236).

42449680 is an abundant number, since it is smaller than the sum of its proper divisors (88838792).

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

42449680 is a wasteful number, since it uses less digits than its factorization.

42449680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 42449680 is about 6515.3418943291. The cubic root of 42449680 is about 348.8388185201.

It can be divided in two parts, 4244 and 9680, that added together give a square (13924 = 118²).

The spelling of 42449680 in words is "forty-two million, four hundred forty-nine thousand, six hundred eighty".