45805280 has 48 divisors (see below), whose sum is σ = 108655344. Its totient is φ = 18247680.

The previous prime is 45805271. The next prime is 45805283. The reversal of 45805280 is 8250854.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45805283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56075 + ... + 56885.

It is an arithmetic number, because the mean of its divisors is an integer number (2263653).

Almost surely, 2^45805280 is an apocalyptic number.

45805280 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 45805280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54327672).

45805280 is an abundant number, since it is smaller than the sum of its proper divisors (62850064).

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

45805280 is a wasteful number, since it uses less digits than its factorization.

45805280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 32.

The square root of 45805280 is about 6767.9598107554. The cubic root of 45805280 is about 357.7984988006.

The spelling of 45805280 in words is "forty-five million, eight hundred five thousand, two hundred eighty".