45432000 has 168 divisors, whose sum is σ = 162775392. Its totient is φ = 12096000.

The previous prime is 45431993. The next prime is 45432001. The reversal of 45432000 is 23454.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (45432001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71685 + ... + 72315.

Almost surely, 2^45432000 is an apocalyptic number.

45432000 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 45432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81387696).

45432000 is an abundant number, since it is smaller than the sum of its proper divisors (117343392).

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

45432000 is a wasteful number, since it uses less digits than its factorization.

45432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 45432000 is about 6740.3264015921. The cubic root of 45432000 is about 356.8239133496.

Adding to 45432000 its reverse (23454), we get a palindrome (45455454).

The spelling of 45432000 in words is "forty-five million, four hundred thirty-two thousand".