45056448 has 168 divisors, whose sum is σ = 142646400. Its totient is φ = 13533696.

The previous prime is 45056441. The next prime is 45056497. The reversal of 45056448 is 84465054.

45056448 is a `hidden beast` number, since 4 + 5 + 0 + 5 + 644 + 8 = 666.

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 (45056441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251623 + ... + 251801.

Almost surely, 2^45056448 is an apocalyptic number.

45056448 is a gapful number since it is divisible by the number (48) 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 45056448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71323200).

45056448 is an abundant number, since it is smaller than the sum of its proper divisors (97589952).

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

45056448 is a wasteful number, since it uses less digits than its factorization.

45056448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 45056448 is about 6712.4099993966. The cubic root of 45056448 is about 355.8379938706.

It can be divided in two parts, 450 and 56448, that multiplied together give a square (25401600 = 5040²).

The spelling of 45056448 in words is "forty-five million, fifty-six thousand, four hundred forty-eight".