45219600 has 240 divisors, whose sum is σ = 166060800. Its totient is φ = 11681280.

The previous prime is 45219599. The next prime is 45219637. The reversal of 45219600 is 691254.

45219600 is a `hidden beast` number, since 4 + 52 + 1 + 9 + 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 47 ways as a sum of consecutive naturals, for example, 572361 + ... + 572439.

It is an arithmetic number, because the mean of its divisors is an integer number (691920).

Almost surely, 2^45219600 is an apocalyptic number.

45219600 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 45219600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83030400).

45219600 is an abundant number, since it is smaller than the sum of its proper divisors (120841200).

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

45219600 is a wasteful number, since it uses less digits than its factorization.

45219600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 45219600 is about 6724.5520296894. The cubic root of 45219600 is about 356.2669798001.

The spelling of 45219600 in words is "forty-five million, two hundred nineteen thousand, six hundred".