45410000 has 100 divisors (see below), whose sum is σ = 116212800. Its totient is φ = 17136000.

The previous prime is 45409997. The next prime is 45410003. The reversal of 45410000 is 1454.

45410000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45409997) and next prime (45410003).

It is a tau number, because it is divible by the number of its divisors (100).

It is a nialpdrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45410003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 189881 + ... + 190119.

It is an arithmetic number, because the mean of its divisors is an integer number (1162128).

Almost surely, 2^45410000 is an apocalyptic number.

45410000 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 45410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58106400).

45410000 is an abundant number, since it is smaller than the sum of its proper divisors (70802800).

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

45410000 is a wasteful number, since it uses less digits than its factorization.

45410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 45410000 is about 6738.6942355326. The cubic root of 45410000 is about 356.7663078913.

Adding to 45410000 its reverse (1454), we get a palindrome (45411454).

The spelling of 45410000 in words is "forty-five million, four hundred ten thousand".