45704880 has 240 divisors, whose sum is σ = 174676320. Its totient is φ = 10616832.

The previous prime is 45704851. The next prime is 45704941. The reversal of 45704880 is 8840754.

45704880 is a `hidden beast` number, since 4 + 570 + 4 + 8 + 80 = 666.

45704880 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 (240).

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

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, 177712 + ... + 177968.

It is an arithmetic number, because the mean of its divisors is an integer number (727818).

Almost surely, 2^45704880 is an apocalyptic number.

45704880 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 45704880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87338160).

45704880 is an abundant number, since it is smaller than the sum of its proper divisors (128971440).

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

45704880 is a wasteful number, since it uses less digits than its factorization.

45704880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 45704880 is about 6760.5384400948. The cubic root of 45704880 is about 357.5368896029.

The spelling of 45704880 in words is "forty-five million, seven hundred four thousand, eight hundred eighty".