4862025000 has 600 divisors, whose sum is σ = 19857381390. Its totient is φ = 1111320000.

The previous prime is 4862024989. The next prime is 4862025017. The reversal of 4862025000 is 5202684.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 7001316 + 4855023684 = 2646^2 + 69678^2 .

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 (27).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 2625 × 735 × 2520.

It is an unprimeable number.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 694574997 + ... + 694575003.

Almost surely, 2^4862025000 is an apocalyptic number.

4862025000 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 4862025000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9928690695).

4862025000 is an abundant number, since it is smaller than the sum of its proper divisors (14995356390).

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

4862025000 is an frugal number, since it uses more digits than its factorization.

4862025000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4862025000 is about 69728.2224067128. Note that the first 3 decimals coincide. The cubic root of 4862025000 is about 1694.1000783258.

Adding to 4862025000 its reverse (5202684), we get a palindrome (4867227684).

The spelling of 4862025000 in words is "four billion, eight hundred sixty-two million, twenty-five thousand".