45552000 has 256 divisors, whose sum is σ = 164848320. Its totient is φ = 11059200.

The previous prime is 45551999. The next prime is 45552037. The reversal of 45552000 is 25554.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 623964 + ... + 624036.

Almost surely, 2^45552000 is an apocalyptic number.

45552000 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 45552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82424160).

45552000 is an abundant number, since it is smaller than the sum of its proper divisors (119296320).

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

45552000 is a wasteful number, since it uses less digits than its factorization.

45552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 21.

The square root of 45552000 is about 6749.2221774068. Note that the first 3 decimals coincide. The cubic root of 45552000 is about 357.1377980236.

Adding to 45552000 its reverse (25554), we get a palindrome (45577554).

It can be divided in two parts, 4555 and 2000, that added together give a triangular number (6555 = T₁₁₄).

The spelling of 45552000 in words is "forty-five million, five hundred fifty-two thousand".