4863920400 has 600 divisors, whose sum is σ = 18686821824. Its totient is φ = 1208908800.

The previous prime is 4863920317. The next prime is 4863920401. The reversal of 4863920400 is 40293684.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4863920401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 45457147 + ... + 45457253.

Almost surely, 2^4863920400 is an apocalyptic number.

4863920400 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 4863920400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9343410912).

4863920400 is an abundant number, since it is smaller than the sum of its proper divisors (13822901424).

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

4863920400 is a wasteful number, since it uses less digits than its factorization.

4863920400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4863920400 is about 69741.8124226780. The cubic root of 4863920400 is about 1694.3201910102.

The spelling of 4863920400 in words is "four billion, eight hundred sixty-three million, nine hundred twenty thousand, four hundred".