45665280 has 132 divisors (see below), whose sum is σ = 158388672. Its totient is φ = 12165120.

The previous prime is 45665261. The next prime is 45665297. The reversal of 45665280 is 8256654.

It is a super-3 number, since 3×45665280³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45585 + ... + 46575.

Almost surely, 2^45665280 is an apocalyptic number.

45665280 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 45665280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79194336).

45665280 is an abundant number, since it is smaller than the sum of its proper divisors (112723392).

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

45665280 is a wasteful number, since it uses less digits than its factorization.

45665280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 45665280 is about 6757.6090446252. The cubic root of 45665280 is about 357.4335997435.

The spelling of 45665280 in words is "forty-five million, six hundred sixty-five thousand, two hundred eighty".