45301000 has 64 divisors (see below), whose sum is σ = 107406000. Its totient is φ = 17881600.

The previous prime is 45300989. The next prime is 45301001. The reversal of 45301000 is 10354.

It can be written as a sum of positive squares in 8 ways, for example, as 1503076 + 43797924 = 1226^2 + 6618^2 .

It is not an unprimeable number, because it can be changed into a prime (45301001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88746 + ... + 89254.

Almost surely, 2^45301000 is an apocalyptic number.

45301000 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 45301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53703000).

45301000 is an abundant number, since it is smaller than the sum of its proper divisors (62105000).

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

45301000 is a wasteful number, since it uses less digits than its factorization.

45301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 45301000 is about 6730.6017561582. The cubic root of 45301000 is about 356.4806242408.

Adding to 45301000 its reverse (10354), we get a palindrome (45311354).

The spelling of 45301000 in words is "forty-five million, three hundred one thousand".