45102304 has 48 divisors (see below), whose sum is σ = 96314400. Its totient is φ = 20666880.

The previous prime is 45102301. The next prime is 45102307. The reversal of 45102304 is 40320154.

It is an interprime number because it is at equal distance from previous prime (45102301) and next prime (45102307).

It is a super-2 number, since 2×45102304² = 4068435652216832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45102301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74997 + ... + 75595.

It is an arithmetic number, because the mean of its divisors is an integer number (2006550).

Almost surely, 2^45102304 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 45102304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48157200).

45102304 is an abundant number, since it is smaller than the sum of its proper divisors (51212096).

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

45102304 is a wasteful number, since it uses less digits than its factorization.

45102304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 45102304 is about 6715.8248934885. The cubic root of 45102304 is about 355.9586704535.

Adding to 45102304 its reverse (40320154), we get a palindrome (85422458).

The spelling of 45102304 in words is "forty-five million, one hundred two thousand, three hundred four".