45132400 has 30 divisors (see below), whose sum is σ = 108431552. Its totient is φ = 18052800.

The previous prime is 45132389. The next prime is 45132401. The reversal of 45132400 is 423154.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45132401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56016 + ... + 56815.

Almost surely, 2^45132400 is an apocalyptic number.

45132400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45132400 is an abundant number, since it is smaller than the sum of its proper divisors (63299152).

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

45132400 is a wasteful number, since it uses less digits than its factorization.

45132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112849 (or 112838 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 45132400 is about 6718.0651976592. The cubic root of 45132400 is about 356.0378279039.

Adding to 45132400 its reverse (423154), we get a palindrome (45555554).

The spelling of 45132400 in words is "forty-five million, one hundred thirty-two thousand, four hundred".