45388800 has 198 divisors, whose sum is σ = 163338318. Its totient is φ = 12042240.

The previous prime is 45388787. The next prime is 45388801. The reversal of 45388800 is 888354.

It can be written as a sum of positive squares in 3 ways, for example, as 13307904 + 32080896 = 3648^2 + 5664^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45388801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 230302 + ... + 230498.

It is an arithmetic number, because the mean of its divisors is an integer number (824941).

Almost surely, 2^45388800 is an apocalyptic number.

45388800 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 45388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81669159).

45388800 is an abundant number, since it is smaller than the sum of its proper divisors (117949518).

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

45388800 is a wasteful number, since it uses less digits than its factorization.

45388800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 45388800 is about 6737.1210468567. The cubic root of 45388800 is about 356.7107795712.

It can be divided in two parts, 453 and 88800, that added together give a triangular number (89253 = T₄₂₂).

The spelling of 45388800 in words is "forty-five million, three hundred eighty-eight thousand, eight hundred".