45048000 has 112 divisors (see below), whose sum is σ = 148827744. Its totient is φ = 12006400.

The previous prime is 45047999. The next prime is 45048013. The reversal of 45048000 is 84054.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 23062 + ... + 24938.

Almost surely, 2^45048000 is an apocalyptic number.

45048000 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 45048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74413872).

45048000 is an abundant number, since it is smaller than the sum of its proper divisors (103779744).

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

45048000 is a wasteful number, since it uses less digits than its factorization.

45048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 45048000 is about 6711.7806877162. The cubic root of 45048000 is about 355.8157528270.

The spelling of 45048000 in words is "forty-five million, forty-eight thousand".