4860710400 has 720 divisors, whose sum is σ = 20056823424. Its totient is φ = 1015971840.

The previous prime is 4860710399. The next prime is 4860710419. The reversal of 4860710400 is 40170684.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45427147 + ... + 45427253.

Almost surely, 2^4860710400 is an apocalyptic number.

4860710400 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 4860710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10028411712).

4860710400 is an abundant number, since it is smaller than the sum of its proper divisors (15196113024).

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

4860710400 is a wasteful number, since it uses less digits than its factorization.

4860710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 4860710400 is about 69718.7951703126. The cubic root of 4860710400 is about 1693.9473803099.

The spelling of 4860710400 in words is "four billion, eight hundred sixty million, seven hundred ten thousand, four hundred".