45057600 has 336 divisors, whose sum is σ = 188976000. Its totient is φ = 10229760.

The previous prime is 45057583. The next prime is 45057613. The reversal of 45057600 is 675054.

45057600 is a `hidden beast` number, since 4 + 5 + 0 + 57 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302326 + ... + 302474.

Almost surely, 2^45057600 is an apocalyptic number.

45057600 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 45057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94488000).

45057600 is an abundant number, since it is smaller than the sum of its proper divisors (143918400).

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

45057600 is a wasteful number, since it uses less digits than its factorization.

45057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 45057600 is about 6712.4958100546. The cubic root of 45057600 is about 355.8410265247.

The spelling of 45057600 in words is "forty-five million, fifty-seven thousand, six hundred".