45084600 has 360 divisors, whose sum is σ = 179597880. Its totient is φ = 10454400.

The previous prime is 45084583. The next prime is 45084643. The reversal of 45084600 is 648054.

45084600 is a `hidden beast` number, since 4 + 50 + 8 + 4 + 600 = 666.

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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1960189 + ... + 1960211.

It is an arithmetic number, because the mean of its divisors is an integer number (498883).

Almost surely, 2^45084600 is an apocalyptic number.

45084600 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 45084600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89798940).

45084600 is an abundant number, since it is smaller than the sum of its proper divisors (134513280).

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

45084600 is a wasteful number, since it uses less digits than its factorization.

45084600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 45084600 is about 6714.5066832940. The cubic root of 45084600 is about 355.9120895586.

The spelling of 45084600 in words is "forty-five million, eighty-four thousand, six hundred".