45056000 has 128 divisors (see below), whose sum is σ = 122681520. Its totient is φ = 16384000.

The previous prime is 45055993. The next prime is 45056029. The reversal of 45056000 is 65054.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4095995 + ... + 4096005.

Almost surely, 2^45056000 is an apocalyptic number.

45056000 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 45056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61340760).

45056000 is an abundant number, since it is smaller than the sum of its proper divisors (77625520).

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

45056000 is an frugal number, since it uses more digits than its factorization.

45056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 45056000 is about 6712.3766282890. The cubic root of 45056000 is about 355.8368144911.

The spelling of 45056000 in words is "forty-five million, fifty-six thousand".