45338800 has 60 divisors (see below), whose sum is σ = 117318880. Its totient is φ = 16738560.

The previous prime is 45338791. The next prime is 45338809. The reversal of 45338800 is 883354.

It is an interprime number because it is at equal distance from previous prime (45338791) and next prime (45338809).

It is not an unprimeable number, because it can be changed into a prime (45338809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 841 + ... + 9559.

Almost surely, 2^45338800 is an apocalyptic number.

45338800 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 45338800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58659440).

45338800 is an abundant number, since it is smaller than the sum of its proper divisors (71980080).

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

45338800 is a wasteful number, since it uses less digits than its factorization.

45338800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8750 (or 8739 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 45338800 is about 6733.4092404962. The cubic root of 45338800 is about 356.5797480380.

The spelling of 45338800 in words is "forty-five million, three hundred thirty-eight thousand, eight hundred".