433641978 has 192 divisors, whose sum is σ = 1276800000. Its totient is φ = 106492320.

The previous prime is 433641947. The next prime is 433641979. The reversal of 433641978 is 879146334.

It is not an unprimeable number, because it can be changed into a prime (433641979) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 868773 + ... + 869271.

It is an arithmetic number, because the mean of its divisors is an integer number (6650000).

Almost surely, 2^433641978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 433641978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638400000).

433641978 is an abundant number, since it is smaller than the sum of its proper divisors (843158022).

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

433641978 is a wasteful number, since it uses less digits than its factorization.

433641978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 541 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 433641978 is about 20824.0720801672. The cubic root of 433641978 is about 756.9091795342.

It can be divided in two parts, 433 and 641978, that added together give a triangular number (642411 = T₁₁₃₃).

The spelling of 433641978 in words is "four hundred thirty-three million, six hundred forty-one thousand, nine hundred seventy-eight".