45384100 has 36 divisors (see below), whose sum is σ = 99848644. Its totient is φ = 17902080.

The previous prime is 45384071. The next prime is 45384109. The reversal of 45384100 is 148354.

It can be written as a sum of positive squares in 6 ways, for example, as 10404 + 45373696 = 102^2 + 6736^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (45384109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4192 + ... + 10408.

Almost surely, 2^45384100 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 45384100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49924322).

45384100 is an abundant number, since it is smaller than the sum of its proper divisors (54464544).

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

45384100 is a wasteful number, since it uses less digits than its factorization.

45384100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6304 (or 6297 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 45384100 is about 6736.7722241441. The cubic root of 45384100 is about 356.6984667059.

The spelling of 45384100 in words is "forty-five million, three hundred eighty-four thousand, one hundred".