45334800 has 270 divisors, whose sum is σ = 183722058. Its totient is φ = 10321920.

The previous prime is 45334739. The next prime is 45334819. The reversal of 45334800 is 843354.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 13660416 + 31674384 = 3696^2 + 5628^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 176272 + ... + 176528.

Almost surely, 2^45334800 is an apocalyptic number.

45334800 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 45334800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91861029).

45334800 is an abundant number, since it is smaller than the sum of its proper divisors (138387258).

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

45334800 is a wasteful number, since it uses less digits than its factorization.

45334800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 45334800 is about 6733.1122075902. The cubic root of 45334800 is about 356.5692613545.

It can be divided in two parts, 453 and 34800, that added together give a palindrome (35253).

The spelling of 45334800 in words is "forty-five million, three hundred thirty-four thousand, eight hundred".