45432400 has 60 divisors (see below), whose sum is σ = 117561052. Its totient is φ = 16773120.

The previous prime is 45432389. The next prime is 45432407. The reversal of 45432400 is 423454.

It is a happy number.

45432400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 6843456 + 38588944 = 2616^2 + 6212^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45432407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 832 + ... + 9568.

Almost surely, 2^45432400 is an apocalyptic number.

45432400 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 45432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58780526).

45432400 is an abundant number, since it is smaller than the sum of its proper divisors (72128652).

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

45432400 is a wasteful number, since it uses less digits than its factorization.

45432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8768 (or 8757 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 45432400 is about 6740.3560736804. The cubic root of 45432400 is about 356.8249605494.

Adding to 45432400 its reverse (423454), we get a palindrome (45855854).

The spelling of 45432400 in words is "forty-five million, four hundred thirty-two thousand, four hundred".