45160800 has 144 divisors (see below), whose sum is σ = 151990272. Its totient is φ = 11635200.

The previous prime is 45160781. The next prime is 45160813. The reversal of 45160800 is 806154.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 74097 + ... + 74703.

It is an arithmetic number, because the mean of its divisors is an integer number (1055488).

Almost surely, 2^45160800 is an apocalyptic number.

45160800 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 45160800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75995136).

45160800 is an abundant number, since it is smaller than the sum of its proper divisors (106829472).

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

45160800 is a wasteful number, since it uses less digits than its factorization.

45160800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 45160800 is about 6720.1785690560. The cubic root of 45160800 is about 356.1124923293.

Adding to 45160800 its reverse (806154), we get a palindrome (45966954).

The spelling of 45160800 in words is "forty-five million, one hundred sixty thousand, eight hundred".