433120520 has 128 divisors (see below), whose sum is σ = 1158312960. Its totient is φ = 142663680.

The previous prime is 433120487. The next prime is 433120549. The reversal of 433120520 is 25021334.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 433120492 and 433120501.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1004705 + ... + 1005135.

It is an arithmetic number, because the mean of its divisors is an integer number (9049320).

Almost surely, 2^433120520 is an apocalyptic number.

433120520 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 433120520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579156480).

433120520 is an abundant number, since it is smaller than the sum of its proper divisors (725192440).

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

433120520 is a wasteful number, since it uses less digits than its factorization.

433120520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 433120520 is about 20811.5477559935. The cubic root of 433120520 is about 756.6056613623.

Adding to 433120520 its reverse (25021334), we get a palindrome (458141854).

The spelling of 433120520 in words is "four hundred thirty-three million, one hundred twenty thousand, five hundred twenty".