45104400 has 360 divisors, whose sum is σ = 183497184. Its totient is φ = 10137600.

The previous prime is 45104393. The next prime is 45104407. The reversal of 45104400 is 440154.

It is an interprime number because it is at equal distance from previous prime (45104393) and next prime (45104407).

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (45104407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 673167 + ... + 673233.

Almost surely, 2^45104400 is an apocalyptic number.

45104400 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 45104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91748592).

45104400 is an abundant number, since it is smaller than the sum of its proper divisors (138392784).

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

45104400 is a wasteful number, since it uses less digits than its factorization.

45104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 45104400 is about 6715.9809410093. The cubic root of 45104400 is about 355.9641844203.

Adding to 45104400 its reverse (440154), we get a palindrome (45544554).

The spelling of 45104400 in words is "forty-five million, one hundred four thousand, four hundred".