45205560 has 128 divisors (see below), whose sum is σ = 158688000. Its totient is φ = 11415168.

The previous prime is 45205553. The next prime is 45205561. The reversal of 45205560 is 6550254.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45205561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19419 + ... + 21621.

It is an arithmetic number, because the mean of its divisors is an integer number (1239750).

Almost surely, 2^45205560 is an apocalyptic number.

45205560 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 45205560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79344000).

45205560 is an abundant number, since it is smaller than the sum of its proper divisors (113482440).

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

45205560 is a wasteful number, since it uses less digits than its factorization.

45205560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 45205560 is about 6723.5080129349. The cubic root of 45205560 is about 356.2301041520.

The spelling of 45205560 in words is "forty-five million, two hundred five thousand, five hundred sixty".