45314400 has 144 divisors (see below), whose sum is σ = 149990400. Its totient is φ = 11880960.

The previous prime is 45314369. The next prime is 45314413. The reversal of 45314400 is 441354.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189481 + ... + 189719.

It is an arithmetic number, because the mean of its divisors is an integer number (1041600).

Almost surely, 2^45314400 is an apocalyptic number.

45314400 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 45314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74995200).

45314400 is an abundant number, since it is smaller than the sum of its proper divisors (104676000).

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

45314400 is a wasteful number, since it uses less digits than its factorization.

45314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 45314400 is about 6731.5971358958. The cubic root of 45314400 is about 356.5157696713.

Adding to 45314400 its reverse (441354), we get a palindrome (45755754).

The spelling of 45314400 in words is "forty-five million, three hundred fourteen thousand, four hundred".