45110520 has 448 divisors, whose sum is σ = 198313920. Its totient is φ = 8957952.

The previous prime is 45110509. The next prime is 45110551. The reversal of 45110520 is 2501154.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 45110493 and 45110502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2653552 + ... + 2653568.

It is an arithmetic number, because the mean of its divisors is an integer number (442665).

Almost surely, 2^45110520 is an apocalyptic number.

45110520 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 45110520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99156960).

45110520 is an abundant number, since it is smaller than the sum of its proper divisors (153203400).

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

45110520 is a wasteful number, since it uses less digits than its factorization.

45110520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 45110520 is about 6716.4365551980. The cubic root of 45110520 is about 355.9802833839.

Adding to 45110520 its reverse (2501154), we get a palindrome (47611674).

The spelling of 45110520 in words is "forty-five million, one hundred ten thousand, five hundred twenty".