45118080 has 256 divisors, whose sum is σ = 183110400. Its totient is φ = 10285056.

The previous prime is 45118069. The next prime is 45118091. The reversal of 45118080 is 8081154.

It is an interprime number because it is at equal distance from previous prime (45118069) and next prime (45118091).

It is a super-2 number, since 2×45118080² = 4071282285772800, which contains 22 as substring.

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

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, 120774 + ... + 121146.

It is an arithmetic number, because the mean of its divisors is an integer number (715275).

Almost surely, 2^45118080 is an apocalyptic number.

45118080 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 45118080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91555200).

45118080 is an abundant number, since it is smaller than the sum of its proper divisors (137992320).

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

45118080 is a wasteful number, since it uses less digits than its factorization.

45118080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 45118080 is about 6716.9993300580. Note that the first 3 decimals coincide. The cubic root of 45118080 is about 356.0001683288. Note that the first 3 decimals are identical.

The spelling of 45118080 in words is "forty-five million, one hundred eighteen thousand, eighty".