4948675200 has 288 divisors, whose sum is σ = 20181401760. Its totient is φ = 1131079680.

The previous prime is 4948675189. The next prime is 4948675213. The reversal of 4948675200 is 25768494.

It is a happy number.

4948675200 is a `hidden beast` number, since 49 + 4 + 86 + 7 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 189327 + ... + 213873.

Almost surely, 2^4948675200 is an apocalyptic number.

4948675200 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 4948675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10090700880).

4948675200 is an abundant number, since it is smaller than the sum of its proper divisors (15232726560).

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

4948675200 is a wasteful number, since it uses less digits than its factorization.

4948675200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24584 (or 24564 counting only the distinct ones).

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

The square root of 4948675200 is about 70346.8208236875. The cubic root of 4948675200 is about 1704.1048669179.

The spelling of 4948675200 in words is "four billion, nine hundred forty-eight million, six hundred seventy-five thousand, two hundred".