437131968 has 224 divisors, whose sum is σ = 1441972224. Its totient is φ = 113799168.

The previous prime is 437131967. The next prime is 437131979. The reversal of 437131968 is 869131734.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (437131967) 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 31 ways as a sum of consecutive naturals, for example, 2218846 + ... + 2219042.

It is an arithmetic number, because the mean of its divisors is an integer number (6437376).

Almost surely, 2^437131968 is an apocalyptic number.

437131968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 437131968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720986112).

437131968 is an abundant number, since it is smaller than the sum of its proper divisors (1004840256).

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

437131968 is a wasteful number, since it uses less digits than its factorization.

437131968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 349 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 437131968 is about 20907.7011648818. The cubic root of 437131968 is about 758.9343143157.

The spelling of 437131968 in words is "four hundred thirty-seven million, one hundred thirty-one thousand, nine hundred sixty-eight".