45284400 has 240 divisors, whose sum is σ = 184512000. Its totient is φ = 10333440.

The previous prime is 45284389. The next prime is 45284423. The reversal of 45284400 is 448254.

45284400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75301 + ... + 75899.

It is an arithmetic number, because the mean of its divisors is an integer number (768800).

Almost surely, 2^45284400 is an apocalyptic number.

45284400 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 45284400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92256000).

45284400 is an abundant number, since it is smaller than the sum of its proper divisors (139227600).

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

45284400 is a wasteful number, since it uses less digits than its factorization.

45284400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 45284400 is about 6729.3684696263. The cubic root of 45284400 is about 356.4370762594.

The spelling of 45284400 in words is "forty-five million, two hundred eighty-four thousand, four hundred".