437445140 has 48 divisors (see below), whose sum is σ = 1012120704. Its totient is φ = 157488000.

The previous prime is 437445133. The next prime is 437445143. The reversal of 437445140 is 41544734.

It is a junction number, because it is equal to n+sod(n) for n = 437445097 and 437445106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (437445143) 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 15 ways as a sum of consecutive naturals, for example, 12377 + ... + 32063.

It is an arithmetic number, because the mean of its divisors is an integer number (21085848).

Almost surely, 2^437445140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 437445140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506060352).

437445140 is an abundant number, since it is smaller than the sum of its proper divisors (574675564).

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

437445140 is a wasteful number, since it uses less digits than its factorization.

437445140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19808 (or 19806 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The square root of 437445140 is about 20915.1892174085. The cubic root of 437445140 is about 759.1155107338.

Adding to 437445140 its reverse (41544734), we get a palindrome (478989874).

It can be divided in two parts, 43744 and 5140, that added together give a palindrome (48884).

The spelling of 437445140 in words is "four hundred thirty-seven million, four hundred forty-five thousand, one hundred forty".