437861952 has 168 divisors, whose sum is σ = 1416954240. Its totient is φ = 128056320.

The previous prime is 437861947. The next prime is 437861953. The reversal of 437861952 is 259168734.

It is a junction number, because it is equal to n+sod(n) for n = 437861898 and 437861907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (437861953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182553 + ... + 184935.

Almost surely, 2^437861952 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 437861952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708477120).

437861952 is an abundant number, since it is smaller than the sum of its proper divisors (979092288).

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

437861952 is a wasteful number, since it uses less digits than its factorization.

437861952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2441 (or 2428 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 437861952 is about 20925.1511822496. The cubic root of 437861952 is about 759.3565375382.

The spelling of 437861952 in words is "four hundred thirty-seven million, eight hundred sixty-one thousand, nine hundred fifty-two".