4877409600 has 504 divisors, whose sum is σ = 20481218880. Its totient is φ = 1106058240.

The previous prime is 4877409577. The next prime is 4877409617. The reversal of 4877409600 is 69047784.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38404737 + ... + 38404863.

Almost surely, 2^4877409600 is an apocalyptic number.

4877409600 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 4877409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10240609440).

4877409600 is an abundant number, since it is smaller than the sum of its proper divisors (15603809280).

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

4877409600 is a wasteful number, since it uses less digits than its factorization.

4877409600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 4877409600 is about 69838.4535911270. The cubic root of 4877409600 is about 1695.8850417512.

The spelling of 4877409600 in words is "four billion, eight hundred seventy-seven million, four hundred nine thousand, six hundred".