45567600 has 240 divisors, whose sum is σ = 165322752. Its totient is φ = 10644480.

The previous prime is 45567583. The next prime is 45567601. The reversal of 45567600 is 676554.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45567601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 358737 + ... + 358863.

Almost surely, 2^45567600 is an apocalyptic number.

45567600 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 45567600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82661376).

45567600 is an abundant number, since it is smaller than the sum of its proper divisors (119755152).

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

45567600 is a wasteful number, since it uses less digits than its factorization.

45567600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 45567600 is about 6750.3777672068. The cubic root of 45567600 is about 357.1785625255.

It can be divided in two parts, 45 and 567600, that added together give a triangular number (567645 = T₁₀₆₅).

The spelling of 45567600 in words is "forty-five million, five hundred sixty-seven thousand, six hundred".