45524204400 has 120 divisors (see below), whose sum is σ = 146028332160. Its totient is φ = 12123211520.

The previous prime is 45524204399. The next prime is 45524204449. The reversal of 45524204400 is 440242554.

45524204400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 866071 + ... + 917129.

It is an arithmetic number, because the mean of its divisors is an integer number (1216902768).

Almost surely, 2^45524204400 is an apocalyptic number.

45524204400 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 45524204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73014166080).

45524204400 is an abundant number, since it is smaller than the sum of its proper divisors (100504127760).

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

45524204400 is a wasteful number, since it uses less digits than its factorization.

45524204400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51823 (or 51812 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

Adding to 45524204400 its reverse (440242554), we get a palindrome (45964446954).

The spelling of 45524204400 in words is "forty-five billion, five hundred twenty-four million, two hundred four thousand, four hundred".