480003829 has 2 divisors, whose sum is σ = 480003830. Its totient is φ = 480003828.

The previous prime is 480003787. The next prime is 480003863. The reversal of 480003829 is 928300084.

It is an a-pointer prime, because the next prime (480003863) can be obtained adding 480003829 to its sum of digits (34).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 424277604 + 55726225 = 20598^2 + 7465^2 .

It is a cyclic number.

It is not a de Polignac number, because 480003829 - 2²⁵ = 446449397 is a prime.

It is a super-2 number, since 2×480003829² = 460807351709322482, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 480003794 and 480003803.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (480003529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 240001914 + 240001915.

It is an arithmetic number, because the mean of its divisors is an integer number (240001915).

Almost surely, 2^480003829 is an apocalyptic number.

It is an amenable number.

480003829 is a deficient number, since it is larger than the sum of its proper divisors (1).

480003829 is an equidigital number, since it uses as much as digits as its factorization.

480003829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 480003829 is about 21908.9896846021. The cubic root of 480003829 is about 782.9756101766.

The spelling of 480003829 in words is "four hundred eighty million, three thousand, eight hundred twenty-nine".