45655680 has 256 divisors, whose sum is σ = 172339200. Its totient is φ = 10063872.

The previous prime is 45655679. The next prime is 45655691. The reversal of 45655680 is 8655654.

It is a super-2 number, since 2×45655680² = 4168882232524800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 577881 + ... + 577959.

It is an arithmetic number, because the mean of its divisors is an integer number (673200).

Almost surely, 2^45655680 is an apocalyptic number.

45655680 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 45655680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86169600).

45655680 is an abundant number, since it is smaller than the sum of its proper divisors (126683520).

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

45655680 is a wasteful number, since it uses less digits than its factorization.

45655680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The square root of 45655680 is about 6756.8986968875. The cubic root of 45655680 is about 357.4085507855.

The spelling of 45655680 in words is "forty-five million, six hundred fifty-five thousand, six hundred eighty".