45565520 has 160 divisors (see below), whose sum is σ = 142490880. Its totient is φ = 13086720.

The previous prime is 45565519. The next prime is 45565529. The reversal of 45565520 is 2556554.

It is a super-2 number, since 2×45565520² = 4152433225740800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45565529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79796 + ... + 80364.

It is an arithmetic number, because the mean of its divisors is an integer number (890568).

Almost surely, 2^45565520 is an apocalyptic number.

45565520 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 45565520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71245440).

45565520 is an abundant number, since it is smaller than the sum of its proper divisors (96925360).

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

45565520 is a wasteful number, since it uses less digits than its factorization.

45565520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 32.

The square root of 45565520 is about 6750.2236999969. The cubic root of 45565520 is about 357.1731277962.

It can be divided in two parts, 455 and 65520, that multiplied together give a square (29811600 = 5460²).

The spelling of 45565520 in words is "forty-five million, five hundred sixty-five thousand, five hundred twenty".