45411520 has 224 divisors, whose sum is σ = 143377920. Its totient is φ = 13271040.

The previous prime is 45411473. The next prime is 45411551. The reversal of 45411520 is 2511454.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×45411520² = 4124412297420800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 45411491 and 45411500.

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, 468112 + ... + 468208.

It is an arithmetic number, because the mean of its divisors is an integer number (640080).

Almost surely, 2^45411520 is an apocalyptic number.

45411520 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 45411520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71688960).

45411520 is an abundant number, since it is smaller than the sum of its proper divisors (97966400).

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

45411520 is a wasteful number, since it uses less digits than its factorization.

45411520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 45411520 is about 6738.8070160823. The cubic root of 45411520 is about 356.7702885030.

Adding to 45411520 its reverse (2511454), we get a palindrome (47922974).

The spelling of 45411520 in words is "forty-five million, four hundred eleven thousand, five hundred twenty".