45236880 has 240 divisors, whose sum is σ = 170614080. Its totient is φ = 11073024.

The previous prime is 45236861. The next prime is 45236887. The reversal of 45236880 is 8863254.

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

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

It is not an unprimeable number, because it can be changed into a prime (45236887) 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, 252631 + ... + 252809.

It is an arithmetic number, because the mean of its divisors is an integer number (710892).

Almost surely, 2^45236880 is an apocalyptic number.

45236880 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 45236880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85307040).

45236880 is an abundant number, since it is smaller than the sum of its proper divisors (125377200).

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

45236880 is a wasteful number, since it uses less digits than its factorization.

45236880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 45236880 is about 6725.8367509181. The cubic root of 45236880 is about 356.3123547363.

The spelling of 45236880 in words is "forty-five million, two hundred thirty-six thousand, eight hundred eighty".