45413280 has 288 divisors, whose sum is σ = 175488768. Its totient is φ = 10598400.

The previous prime is 45413279. The next prime is 45413297. The reversal of 45413280 is 8231454.

45413280 is a `hidden beast` number, since 454 + 132 + 80 = 666.

45413280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 744450 + ... + 744510.

It is an arithmetic number, because the mean of its divisors is an integer number (609336).

Almost surely, 2^45413280 is an apocalyptic number.

45413280 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 45413280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87744384).

45413280 is an abundant number, since it is smaller than the sum of its proper divisors (130075488).

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

45413280 is a wasteful number, since it uses less digits than its factorization.

45413280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 45413280 is about 6738.9376017292. The cubic root of 45413280 is about 356.7748975214.

The spelling of 45413280 in words is "forty-five million, four hundred thirteen thousand, two hundred eighty".