45000400 has 30 divisors (see below), whose sum is σ = 108114422. Its totient is φ = 18000000.

The previous prime is 45000353. The next prime is 45000407. The reversal of 45000400 is 400054.

45000400 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 3 ways, for example, as 3136 + 44997264 = 56^2 + 6708^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45000407) 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 5 ways as a sum of consecutive naturals, for example, 55851 + ... + 56650.

Almost surely, 2^45000400 is an apocalyptic number.

45000400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45000400 is an abundant number, since it is smaller than the sum of its proper divisors (63114022).

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

45000400 is a wasteful number, since it uses less digits than its factorization.

45000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112519 (or 112508 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 45000400 is about 6708.2337466728. The cubic root of 45000400 is about 355.6903843402.

Adding to 45000400 its reverse (400054), we get a palindrome (45400454).

The spelling of 45000400 in words is "forty-five million, four hundred", and thus it is an aban number.