4531879400 has 24 divisors (see below), whose sum is σ = 10536620070. Its totient is φ = 1812751680.

The previous prime is 4531879381. The next prime is 4531879409. The reversal of 4531879400 is 49781354.

It can be written as a sum of positive squares in 3 ways, for example, as 3362376196 + 1169503204 = 57986^2 + 34198^2 .

It is a super-2 number, since 2×4531879400² = 41075861792288720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4531879409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11329499 + ... + 11329898.

Almost surely, 2^4531879400 is an apocalyptic number.

4531879400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4531879400 is an abundant number, since it is smaller than the sum of its proper divisors (6004740670).

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

4531879400 is a wasteful number, since it uses less digits than its factorization.

4531879400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22659413 (or 22659404 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 4531879400 is about 67319.2349926824. The cubic root of 4531879400 is about 1654.8531007520.

The spelling of 4531879400 in words is "four billion, five hundred thirty-one million, eight hundred seventy-nine thousand, four hundred".