45504000 has 240 divisors, whose sum is σ = 165971520. Its totient is φ = 11980800.

The previous prime is 45503999. The next prime is 45504007. The reversal of 45504000 is 40554.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×45504000² = 4141228032000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45504007) 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, 575961 + ... + 576039.

It is an arithmetic number, because the mean of its divisors is an integer number (691548).

Almost surely, 2^45504000 is an apocalyptic number.

45504000 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 45504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82985760).

45504000 is an abundant number, since it is smaller than the sum of its proper divisors (120467520).

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

45504000 is an equidigital number, since it uses as much as digits as its factorization.

45504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 45504000 is about 6745.6652748265. The cubic root of 45504000 is about 357.0123103822.

Adding to 45504000 its reverse (40554), we get a palindrome (45544554).

The spelling of 45504000 in words is "forty-five million, five hundred four thousand".