45881280 has 168 divisors, whose sum is σ = 160477200. Its totient is φ = 12029952.

The previous prime is 45881273. The next prime is 45881281. The reversal of 45881280 is 8218854.

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

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45881281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256231 + ... + 256409.

Almost surely, 2^45881280 is an apocalyptic number.

45881280 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 45881280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80238600).

45881280 is an abundant number, since it is smaller than the sum of its proper divisors (114595920).

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

45881280 is a wasteful number, since it uses less digits than its factorization.

45881280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 45881280 is about 6773.5721742667. The cubic root of 45881280 is about 357.9962755665.

The spelling of 45881280 in words is "forty-five million, eight hundred eighty-one thousand, two hundred eighty".