45165600 has 360 divisors, whose sum is σ = 178652628. Its totient is φ = 11059200.

The previous prime is 45165581. The next prime is 45165607. The reversal of 45165600 is 656154.

It is a happy number.

45165600 is a `hidden beast` number, since 4 + 5 + 1 + 656 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 10732176 + 34433424 = 3276^2 + 5868^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (45165607) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1101580 + ... + 1101620.

Almost surely, 2^45165600 is an apocalyptic number.

45165600 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 45165600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89326314).

45165600 is an abundant number, since it is smaller than the sum of its proper divisors (133487028).

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

45165600 is a wasteful number, since it uses less digits than its factorization.

45165600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 45165600 is about 6720.5356929340. The cubic root of 45165600 is about 356.1251085762.

The spelling of 45165600 in words is "forty-five million, one hundred sixty-five thousand, six hundred".