437012368 has 60 divisors (see below), whose sum is σ = 948639060. Its totient is φ = 194707968.

The previous prime is 437012341. The next prime is 437012371. The reversal of 437012368 is 863210734.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 167133184 + 269879184 = 12928^2 + 16428^2 .

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 11 ways as a sum of consecutive naturals, for example, 75630 + ... + 81202.

It is an arithmetic number, because the mean of its divisors is an integer number (15810651).

Almost surely, 2^437012368 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 437012368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474319530).

437012368 is an abundant number, since it is smaller than the sum of its proper divisors (511626692).

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

437012368 is a wasteful number, since it uses less digits than its factorization.

437012368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5636 (or 5617 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 437012368 is about 20904.8407791114. The cubic root of 437012368 is about 758.8650927914.

The spelling of 437012368 in words is "four hundred thirty-seven million, twelve thousand, three hundred sixty-eight".