4876459200 has 420 divisors, whose sum is σ = 18109948032. Its totient is φ = 1287014400.

The previous prime is 4876459109. The next prime is 4876459219. The reversal of 4876459200 is 29546784.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 24753502 + ... + 24753698.

Almost surely, 2^4876459200 is an apocalyptic number.

4876459200 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 4876459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9054974016).

4876459200 is an abundant number, since it is smaller than the sum of its proper divisors (13233488832).

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

4876459200 is a wasteful number, since it uses less digits than its factorization.

4876459200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4876459200 is about 69831.6489852560. The cubic root of 4876459200 is about 1695.7748826042.

The spelling of 4876459200 in words is "four billion, eight hundred seventy-six million, four hundred fifty-nine thousand, two hundred".