4683104400 has 240 divisors, whose sum is σ = 16223586624. Its totient is φ = 1147914240.

The previous prime is 4683104339. The next prime is 4683104429. The reversal of 4683104400 is 44013864.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4944727 + ... + 4945673.

Almost surely, 2^4683104400 is an apocalyptic number.

4683104400 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 4683104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8111793312).

4683104400 is an abundant number, since it is smaller than the sum of its proper divisors (11540482224).

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

4683104400 is a wasteful number, since it uses less digits than its factorization.

4683104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 4683104400 is about 68433.2112354813. The cubic root of 4683104400 is about 1673.0590899204.

The spelling of 4683104400 in words is "four billion, six hundred eighty-three million, one hundred four thousand, four hundred".