437654016 has 200 divisors, whose sum is σ = 1335371004. Its totient is φ = 142663680.

The previous prime is 437654003. The next prime is 437654017. The reversal of 437654016 is 610456734.

It is a happy number.

437654016 is a `hidden beast` number, since 43 + 76 + 540 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 435974400 + 1679616 = 20880^2 + 1296^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (437654017) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2529706 + ... + 2529878.

Almost surely, 2^437654016 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 437654016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667685502).

437654016 is an abundant number, since it is smaller than the sum of its proper divisors (897716988).

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

437654016 is an equidigital number, since it uses as much as digits as its factorization.

437654016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 437654016 is about 20920.1820259767. The cubic root of 437654016 is about 759.2363150484.

The spelling of 437654016 in words is "four hundred thirty-seven million, six hundred fifty-four thousand, sixteen".