4002500 has 30 divisors (see below), whose sum is σ = 8758134. Its totient is φ = 1600000.

The previous prime is 4002499. The next prime is 4002527. The reversal of 4002500 is 52004.

It can be written as a sum of positive squares in 5 ways, for example, as 369664 + 3632836 = 608^2 + 1906^2 .

It is a sliding number, since 4002500 = 2500 + 4000000 and 1/2500 + 1/4000000 = 0.0004002500.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1700 + ... + 3300.

Almost surely, 2^4002500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4002500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4379067).

4002500 is an abundant number, since it is smaller than the sum of its proper divisors (4755634).

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

4002500 is a wasteful number, since it uses less digits than its factorization.

4002500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 4002500 is about 2000.6249023743. The cubic root of 4002500 is about 158.7731691647.

Adding to 4002500 its reverse (52004), we get a palindrome (4054504).

It can be divided in two parts, 4002 and 500, that multiplied together give a triangular number (2001000 = T₂₀₀₀).

The spelling of 4002500 in words is "four million, two thousand, five hundred".