4823006400 has 126 divisors (see below), whose sum is σ = 17142154692. Its totient is φ = 1286131200.

The previous prime is 4823006399. The next prime is 4823006407. The reversal of 4823006400 is 46003284.

It is a super-2 number, since 2×4823006400² = 46522781468881920000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4823006407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 153066 + ... + 181865.

Almost surely, 2^4823006400 is an apocalyptic number.

4823006400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4823006400 is an abundant number, since it is smaller than the sum of its proper divisors (12319148292).

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

4823006400 is a wasteful number, since it uses less digits than its factorization.

4823006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334959 (or 334941 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4823006400 is about 69447.8682178222. The cubic root of 4823006400 is about 1689.5560847530.

Adding to 4823006400 its reverse (46003284), we get a palindrome (4869009684).

The spelling of 4823006400 in words is "four billion, eight hundred twenty-three million, six thousand, four hundred".