45066240 has 192 divisors, whose sum is σ = 161179200. Its totient is φ = 11943936.

The previous prime is 45066211. The next prime is 45066283. The reversal of 45066240 is 4266054.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276399 + ... + 276561.

It is an arithmetic number, because the mean of its divisors is an integer number (839475).

Almost surely, 2^45066240 is an apocalyptic number.

45066240 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 45066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80589600).

45066240 is an abundant number, since it is smaller than the sum of its proper divisors (116112960).

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

45066240 is a wasteful number, since it uses less digits than its factorization.

45066240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 45066240 is about 6713.1393550261. The cubic root of 45066240 is about 355.8637697836.

The spelling of 45066240 in words is "forty-five million, sixty-six thousand, two hundred forty".