4132000 has 48 divisors (see below), whose sum is σ = 10162152. Its totient is φ = 1651200.

The previous prime is 4131983. The next prime is 4132001. The reversal of 4132000 is 2314.

It can be written as a sum of positive squares in 4 ways, for example, as 2421136 + 1710864 = 1556^2 + 1308^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (4132001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3484 + ... + 4516.

Almost surely, 2^4132000 is an apocalyptic number.

4132000 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 4132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5081076).

4132000 is an abundant number, since it is smaller than the sum of its proper divisors (6030152).

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

4132000 is a wasteful number, since it uses less digits than its factorization.

4132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 4132000 is about 2032.7321515635. The cubic root of 4132000 is about 160.4673833755.

Adding to 4132000 its reverse (2314), we get a palindrome (4134314).

It can be divided in two parts, 41 and 32000, that added together give a square (32041 = 179²).

The spelling of 4132000 in words is "four million, one hundred thirty-two thousand".