45201300 has 72 divisors (see below), whose sum is σ = 138491136. Its totient is φ = 11343360.

The previous prime is 45201287. The next prime is 45201307. The reversal of 45201300 is 310254.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 45201300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45201307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 669 + ... + 9531.

It is an arithmetic number, because the mean of its divisors is an integer number (1923488).

Almost surely, 2^45201300 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 45201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69245568).

45201300 is an abundant number, since it is smaller than the sum of its proper divisors (93289836).

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

45201300 is a wasteful number, since it uses less digits than its factorization.

45201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8897 (or 8890 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 45201300 is about 6723.1912065626. The cubic root of 45201300 is about 356.2189138772.

Adding to 45201300 its reverse (310254), we get a palindrome (45511554).

The spelling of 45201300 in words is "forty-five million, two hundred one thousand, three hundred".