45273600 has 240 divisors, whose sum is σ = 167444640. Its totient is φ = 11980800.

The previous prime is 45273593. The next prime is 45273649. The reversal of 45273600 is 637254.

It is a happy number.

45273600 is a `hidden beast` number, since 4 + 52 + 7 + 3 + 600 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 345535 + ... + 345665.

It is an arithmetic number, because the mean of its divisors is an integer number (697686).

Almost surely, 2^45273600 is an apocalyptic number.

45273600 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 45273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83722320).

45273600 is an abundant number, since it is smaller than the sum of its proper divisors (122171040).

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

45273600 is a wasteful number, since it uses less digits than its factorization.

45273600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 45273600 is about 6728.5659690606. The cubic root of 45273600 is about 356.4087381231.

The spelling of 45273600 in words is "forty-five million, two hundred seventy-three thousand, six hundred".