45002400 has 144 divisors (see below), whose sum is σ = 155240064. Its totient is φ = 11284480.

The previous prime is 45002369. The next prime is 45002401. The reversal of 45002400 is 420054.

45002400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 45002400.

It is not an unprimeable number, because it can be changed into a prime (45002401) 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 23 ways as a sum of consecutive naturals, for example, 40249 + ... + 41351.

It is an arithmetic number, because the mean of its divisors is an integer number (1078056).

Almost surely, 2^45002400 is an apocalyptic number.

45002400 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 45002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77620032).

45002400 is an abundant number, since it is smaller than the sum of its proper divisors (110237664).

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

45002400 is a wasteful number, since it uses less digits than its factorization.

45002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 45002400 is about 6708.3828155525. The cubic root of 45002400 is about 355.6956537025.

Adding to 45002400 its reverse (420054), we get a palindrome (45422454).

The spelling of 45002400 in words is "forty-five million, two thousand, four hundred".