4689056400 has 240 divisors, whose sum is σ = 17759280000. Its totient is φ = 1034772480.

The previous prime is 4689056387. The next prime is 4689056413. The reversal of 4689056400 is 46509864.

It is an interprime number because it is at equal distance from previous prime (4689056387) and next prime (4689056413).

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 (42).

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, 233976 + ... + 253224.

It is an arithmetic number, because the mean of its divisors is an integer number (73997000).

Almost surely, 2^4689056400 is an apocalyptic number.

4689056400 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 4689056400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8879640000).

4689056400 is an abundant number, since it is smaller than the sum of its proper divisors (13070223600).

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

4689056400 is a wasteful number, since it uses less digits than its factorization.

4689056400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19306 (or 19295 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 4689056400 is about 68476.6850833187. The cubic root of 4689056400 is about 1673.7675823431.

The spelling of 4689056400 in words is "four billion, six hundred eighty-nine million, fifty-six thousand, four hundred".