32452000 has 192 divisors, whose sum is σ = 97493760. Its totient is φ = 10368000.

The previous prime is 32451989. The next prime is 32452001. The reversal of 32452000 is 25423.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (32452001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 531970 + ... + 532030.

It is an arithmetic number, because the mean of its divisors is an integer number (507780).

Almost surely, 2^32452000 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 32452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48746880).

32452000 is an abundant number, since it is smaller than the sum of its proper divisors (65041760).

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

32452000 is a wasteful number, since it uses less digits than its factorization.

32452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 32452000 is about 5696.6656914374. The cubic root of 32452000 is about 318.9680297360.

Adding to 32452000 its reverse (25423), we get a palindrome (32477423).

The spelling of 32452000 in words is "thirty-two million, four hundred fifty-two thousand".