4032500 has 30 divisors (see below), whose sum is σ = 8823738. Its totient is φ = 1612000.

The previous prime is 4032493. The next prime is 4032517. The reversal of 4032500 is 52304.

It can be written as a sum of positive squares in 5 ways, for example, as 1336336 + 2696164 = 1156^2 + 1642^2 .

It is a super-2 number, since 2×4032500² = 32522112500000, which contains 22 as substring.

It is a congruent number.

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, 1694 + ... + 3306.

Almost surely, 2^4032500 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 4032500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4411869).

4032500 is an abundant number, since it is smaller than the sum of its proper divisors (4791238).

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

4032500 is a wasteful number, since it uses less digits than its factorization.

4032500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 4032500 is about 2008.1085628023. The cubic root of 4032500 is about 159.1688671729.

Adding to 4032500 its reverse (52304), we get a palindrome (4084804).

The spelling of 4032500 in words is "four million, thirty-two thousand, five hundred".