45451540 has 48 divisors (see below), whose sum is σ = 103822992. Its totient is φ = 16644096.

The previous prime is 45451537. The next prime is 45451541. The reversal of 45451540 is 4515454.

It can be written as a sum of positive squares in 8 ways, for example, as 266256 + 45185284 = 516^2 + 6722^2 .

It is a junction number, because it is equal to n+sod(n) for n = 45451499 and 45451508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45451541) 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 15 ways as a sum of consecutive naturals, for example, 10774 + ... + 14386.

It is an arithmetic number, because the mean of its divisors is an integer number (2162979).

Almost surely, 2^45451540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45451540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51911496).

45451540 is an abundant number, since it is smaller than the sum of its proper divisors (58371452).

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

45451540 is a wasteful number, since it uses less digits than its factorization.

45451540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3676 (or 3674 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 28.

The square root of 45451540 is about 6741.7757304734. The cubic root of 45451540 is about 356.8750618787.

Adding to 45451540 its reverse (4515454), we get a palindrome (49966994).

The spelling of 45451540 in words is "forty-five million, four hundred fifty-one thousand, five hundred forty".