45154800 has 240 divisors, whose sum is σ = 166522080. Its totient is φ = 11612160.

The previous prime is 45154787. The next prime is 45154831. The reversal of 45154800 is 845154.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 399544 + ... + 399656.

It is an arithmetic number, because the mean of its divisors is an integer number (693842).

Almost surely, 2^45154800 is an apocalyptic number.

45154800 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 45154800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83261040).

45154800 is an abundant number, since it is smaller than the sum of its proper divisors (121367280).

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

45154800 is a wasteful number, since it uses less digits than its factorization.

45154800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 45154800 is about 6719.7321375186. The cubic root of 45154800 is about 356.0967207635.

Adding to 45154800 its reverse (845154), we get a palindrome (45999954).

It can be divided in two parts, 45154 and 800, that added together give a palindrome (45954).

The spelling of 45154800 in words is "forty-five million, one hundred fifty-four thousand, eight hundred".