45400 has 24 divisors (see below), whose sum is σ = 106020. Its totient is φ = 18080.

The previous prime is 45389. The next prime is 45403. The reversal of 45400 is 454.

45400 = 30² + 31² + ... + 54².

It is a super-2 number, since 2×45400² = 4122320000, which contains 22 as substring.

It is a plaindrome in base 12 and base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 87 + ... + 313.

2⁴⁵⁴⁰⁰ is an apocalyptic number.

45400 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 45400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53010).

45400 is an abundant number, since it is smaller than the sum of its proper divisors (60620).

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

45400 is a wasteful number, since it uses less digits than its factorization.

45400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 234 counting only the distinct ones).

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

The square root of 45400 is about 213.0727575266. The cubic root of 45400 is about 35.6740117441.

Adding to 45400 its reverse (454), we get a palindrome (45854).

Multiplying 45400 by its reverse (454), we get a square (20611600 = 4540²).

45400 divided by its reverse (454) gives a square (100 = 10²).

The spelling of 45400 in words is "forty-five thousand, four hundred".