4870958400 has 1008 divisors, whose sum is σ = 22640836608. Its totient is φ = 963072000.

The previous prime is 4870958363. The next prime is 4870958401. The reversal of 4870958400 is 48590784.

4870958400 is a `hidden beast` number, since 487 + 0 + 95 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4870958401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25502305 + ... + 25502495.

Almost surely, 2^4870958400 is an apocalyptic number.

4870958400 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 4870958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11320418304).

4870958400 is an abundant number, since it is smaller than the sum of its proper divisors (17769878208).

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

4870958400 is a wasteful number, since it uses less digits than its factorization.

4870958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 4870958400 is about 69792.2517189408. The cubic root of 4870958400 is about 1695.1370134891.

The spelling of 4870958400 in words is "four billion, eight hundred seventy million, nine hundred fifty-eight thousand, four hundred".