8452000 has 48 divisors (see below), whose sum is σ = 20776392. Its totient is φ = 3379200.

The previous prime is 8451991. The next prime is 8452001. The reversal of 8452000 is 2548.

It is a happy number.

8452000 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 4 ways, for example, as 318096 + 8133904 = 564^2 + 2852^2 .

It is not an unprimeable number, because it can be changed into a prime (8452001) 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, 2944 + ... + 5056.

Almost surely, 2^8452000 is an apocalyptic number.

8452000 is a gapful number since it is divisible by the number (80) 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 8452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10388196).

8452000 is an abundant number, since it is smaller than the sum of its proper divisors (12324392).

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

8452000 is a wasteful number, since it uses less digits than its factorization.

8452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 8452000 is about 2907.2323608546. The cubic root of 8452000 is about 203.6978739276.

Adding to 8452000 its reverse (2548), we get a palindrome (8454548).

It can be divided in two parts, 845 and 2000, that multiplied together give a square (1690000 = 1300²).

The spelling of 8452000 in words is "eight million, four hundred fifty-two thousand".