437920056 has 288 divisors, whose sum is σ = 1493856000. Its totient is φ = 115178112.

The previous prime is 437920019. The next prime is 437920061. The reversal of 437920056 is 650029734.

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

It is a self number, because there is not a number n which added to its sum of digits gives 437920056.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 3150435 + ... + 3150573.

It is an arithmetic number, because the mean of its divisors is an integer number (5187000).

Almost surely, 2^437920056 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 437920056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746928000).

437920056 is an abundant number, since it is smaller than the sum of its proper divisors (1055935944).

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

437920056 is a wasteful number, since it uses less digits than its factorization.

437920056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 437920056 is about 20926.5395132592. The cubic root of 437920056 is about 759.3901247610.

The spelling of 437920056 in words is "four hundred thirty-seven million, nine hundred twenty thousand, fifty-six".