433798848 has 112 divisors (see below), whose sum is σ = 1457512960. Its totient is φ = 123939072.

The previous prime is 433798847. The next prime is 433798867. The reversal of 433798848 is 848897334.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×433798848² = 376362881052254208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 433798794 and 433798803.

It is not an unprimeable number, because it can be changed into a prime (433798847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5836 + ... + 30027.

Almost surely, 2^433798848 is an apocalyptic number.

433798848 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 433798848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728756480).

433798848 is an abundant number, since it is smaller than the sum of its proper divisors (1023714112).

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

433798848 is a wasteful number, since it uses less digits than its factorization.

433798848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35891 (or 35875 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 433798848 is about 20827.8382939757. The cubic root of 433798848 is about 757.0004391710. Note that the first 3 decimals are identical.

The spelling of 433798848 in words is "four hundred thirty-three million, seven hundred ninety-eight thousand, eight hundred forty-eight".