45448000 has 224 divisors, whose sum is σ = 133136640. Its totient is φ = 15206400.

The previous prime is 45447979. The next prime is 45448063. The reversal of 45448000 is 84454.

45448000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1975989 + ... + 1976011.

It is an arithmetic number, because the mean of its divisors is an integer number (594360).

Almost surely, 2^45448000 is an apocalyptic number.

45448000 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 45448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66568320).

45448000 is an abundant number, since it is smaller than the sum of its proper divisors (87688640).

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

45448000 is a wasteful number, since it uses less digits than its factorization.

45448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 45448000 is about 6741.5131832549. The cubic root of 45448000 is about 356.8657965489.

It can be divided in two parts, 4544 and 8000, that added together give a square (12544 = 112²).

The spelling of 45448000 in words is "forty-five million, four hundred forty-eight thousand".