45170400 has 288 divisors, whose sum is σ = 168739200. Its totient is φ = 10393600.

The previous prime is 45170399. The next prime is 45170417. The reversal of 45170400 is 407154.

45170400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 765571 + ... + 765629.

It is an arithmetic number, because the mean of its divisors is an integer number (585900).

Almost surely, 2^45170400 is an apocalyptic number.

45170400 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 45170400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84369600).

45170400 is an abundant number, since it is smaller than the sum of its proper divisors (123568800).

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

45170400 is a wasteful number, since it uses less digits than its factorization.

45170400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 45170400 is about 6720.8927978357. The cubic root of 45170400 is about 356.1377239292.

Adding to 45170400 its reverse (407154), we get a palindrome (45577554).

The spelling of 45170400 in words is "forty-five million, one hundred seventy thousand, four hundred".