433226880 has 320 divisors, whose sum is σ = 1583972280. Its totient is φ = 112803840.

The previous prime is 433226851. The next prime is 433226881. The reversal of 433226880 is 88622334.

It can be written as a sum of positive squares in 4 ways, for example, as 244109376 + 189117504 = 15624^2 + 13752^2 .

It is a tau number, because it is divible by the number of its divisors (320).

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 (433226881) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3162172 + ... + 3162308.

Almost surely, 2^433226880 is an apocalyptic number.

433226880 is a gapful number since it is divisible by the number (40) 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 433226880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791986140).

433226880 is an abundant number, since it is smaller than the sum of its proper divisors (1150745400).

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

433226880 is a wasteful number, since it uses less digits than its factorization.

433226880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 433226880 is about 20814.1029112475. The cubic root of 433226880 is about 756.6675886922.

The spelling of 433226880 in words is "four hundred thirty-three million, two hundred twenty-six thousand, eight hundred eighty".