4904468800 has 504 divisors, whose sum is σ = 15769669248. Its totient is φ = 1496140800.

The previous prime is 4904468761. The next prime is 4904468819. The reversal of 4904468800 is 88644094.

It is a happy number.

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, 104350377 + ... + 104350423.

Almost surely, 2^4904468800 is an apocalyptic number.

4904468800 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 4904468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7884834624).

4904468800 is an abundant number, since it is smaller than the sum of its proper divisors (10865200448).

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

4904468800 is a wasteful number, since it uses less digits than its factorization.

4904468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The square root of 4904468800 is about 70031.9127255568. The cubic root of 4904468800 is about 1699.0154391255.

The spelling of 4904468800 in words is "four billion, nine hundred four million, four hundred sixty-eight thousand, eight hundred".